Solve for w. {:[-4(w+1)=-24],[w=]:}

Distribute -4: Distribute -4 across the parentheses in the first equation. -4(w+1) = -4w - 4. Now the equation looks like -4w - 4 = -24.Add 4: Add 4 to both sides of the equation to isolate the term with the variable w. -4w - 4 + 4 = -24 + 4, which simplifies to -4w = -20.Divide by -4: Divide both sides of the equation by -4 to solve for w. -4w / -4 = -20 / -4, which simplifies to w = 5.Final Solution: Since the second part of the system of equations is simply w=, we can conclude that the value of w we found, which is 5, is the solution to the system.

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Solve for $w$ . $\newline$ $\begin{array}{l} -4(w+1)=-24 \\ w=\square \end{array}$

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

w

\newline

\begin{array}{l} -4(w+1)=-24 \\ w=\square \end{array}

Distribute $-4$ : Distribute $-4$ across the parentheses in the first equation. $-4(w+1) = -4w - 4$ . Now the equation looks like $-4w - 4 = -24$ .
Add $4$ : Add $4$ to both sides of the equation to isolate the term with the variable $w$ . $-4w - 4 + 4 = -24 + 4$ , which simplifies to $-4w = -20$ .
Divide by $-4$ : Divide both sides of the equation by $-4$ to solve for $w$ . $-4w / -4 = -20 / -4$ , which simplifies to $w = 5$ .
Final Solution: Since the second part of the system of equations is simply $w=$ , we can conclude that the value of $w$ we found, which is $5$ , is the solution to the system.