17+27=-7w Given the equation, what is the value of 10(-21 w+1) ?

Solve for w: First, we need to solve the given equation for w. The equation is 17 + 27 = -7w. Combine like terms on the left side of the equation. 17 + 27 = 44. So, the equation becomes 44 = -7w.Divide by -7: Next, we divide both sides of the equation by -7 to solve for w. 44 / -7 = w. Calculate the value of w. w = -44 / 7.Substitute w: Now that we have the value of w, we can substitute it into the expression 10(-21w + 1). First, substitute w = -44 / 7 into the expression. 10(-21(-44 / 7) + 1).Simplify expression: Simplify the expression inside the parentheses. -21 * -44 / 7 = 21 * 44 / 7. Calculate the multiplication and division. 21 * 44 / 7 = 6 * 44. 6 * 44 = 264. So, the expression becomes 10(264 + 1).Add numbers: Add the numbers inside the parentheses. 264 + 1 = 265. Now the expression is 10 * 265.Multiply to get final answer: Multiply 10 by 265 to get the final answer. 10 * 265 = 2650.

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17+27=-7w
Given the equation, what is the value of
10(-21 w+1) ?

$17+27=-7 w$ $\newline$ Given the equation, what is the value of $10(-21 w+1)$ ?

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Algebra 1

Solve linear equations with variables on both sides

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17+27=-7 w

\newline

Given the equation, what is the value of

10(-21 w+1)

Solve for w: First, we need to solve the given equation for $w$ . $\newline$ The equation is $17 + 27 = -7w$ . $\newline$ Combine like terms on the left side of the equation. $\newline$ $17 + 27 = 44$ . $\newline$ So, the equation becomes $44 = -7w$ .
Divide by $-7$ : Next, we divide both sides of the equation by $-7$ to solve for $w$ . $\frac{44}{-7} = w.$ Calculate the value of $w$ . $w = -\frac{44}{7}.$
Substitute $w$ : Now that we have the value of $w$ , we can substitute it into the expression $10(-21w + 1)$ . $\newline$ First, substitute $w = -\frac{44}{7}$ into the expression. $\newline$ $10(-21(-\frac{44}{7}) + 1)$ .
Simplify expression: Simplify the expression inside the parentheses. $\newline$ $-21 \times -44 / 7 = 21 \times 44 / 7$ . $\newline$ Calculate the multiplication and division. $\newline$ $21 \times 44 / 7 = 6 \times 44$ . $\newline$ $6 \times 44 = 264$ . $\newline$ So, the expression becomes $10(264 + 1)$ .
Add numbers: Add the numbers inside the parentheses. $264 + 1 = 265$ . Now the expression is $10 \times 265$ .
Multiply to get final answer: Multiply $10$ by $265$ to get the final answer. $\newline$ $10 \times 265 = 2650$ .