Find the value of w. 15-(w)/(6)=22

Identify Goal: Identify the goal of the problem. We need to solve for w in the equation 15 - (w/6) = 22. Isolate Term: Isolate the term containing w on one side of the equation. To do this, we can subtract 15 from both sides of the equation to get - (w/6) = 22 - 15. Perform Subtraction: Perform the subtraction on the right side of the equation. 22 - 15 equals 7, so the equation now reads - (w/6) = 7. Get Rid of Negative Sign: To solve for w, we need to get rid of the negative sign and the division by 6. We can multiply both sides of the equation by -6 to do this. -6 * - (w/6) = 7 * -6. Perform Multiplication: Perform the multiplication on both sides of the equation. The left side simplifies to w because -6 * - (1/6) equals 1, and the right side becomes -42 because 7 * -6 equals -42. So, w = -42.

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Find the value of $w$ . $\newline$ $15-\frac{w}{6}=22$

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Math Problems

Grade 6

Add three or more integers

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Q. Find the value of

w

\newline

15-\frac{w}{6}=22

Identify Goal: Identify the goal of the problem. We need to solve for $w$ in the equation $15 - \frac{w}{6} = 22$ .
Isolate Term: Isolate the term containing $w$ on one side of the equation. To do this, we can subtract $15$ from both sides of the equation to get $-\left(\frac{w}{6}\right) = 22 - 15$ .
Perform Subtraction: Perform the subtraction on the right side of the equation. $22 - 15$ equals $7$ , so the equation now reads $- (w/6) = 7$ .
Get Rid of Negative Sign: To solve for $w$ , we need to get rid of the negative sign and the division by $6$ . We can multiply both sides of the equation by $-6$ to do this. $-6 \times - (\frac{w}{6}) = 7 \times -6$ .
Perform Multiplication: Perform the multiplication on both sides of the equation. The left side simplifies to $w$ because $-6 \times - \left(\frac{1}{6}\right)$ equals $1$ , and the right side becomes $-42$ because $7 \times -6$ equals $-42$ . So, $w = -42$ .