Solve for w. 18w + 13 = 19w - 7 + 6 w = ____

Simplify equation: First, simplify the equation by combining like terms on the right side. 18w + 13 = 19w - 7 + 6 18w + 13 = 19w - 1Move terms to isolate: Next, move the variable terms to one side and the constant terms to the other side to isolate w. Subtract 19w from both sides. 18w - 19w + 13 = 19w - 19w - 1 -1w + 13 = -1Move constant term: Now, move the constant term on the left side to the right side by subtracting 13 from both sides. -1w + 13 - 13 = -1 - 13 -1w = -14Divide to solve: Finally, divide both sides by -1 to solve for w. -1w / -1 = -14 / -1 w = 14

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Solve for $w$ . $\newline$ $18w + 13 = 19w - 7 + 6$ $\newline$ $w =$ ____

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

w

\newline

18w + 13 = 19w - 7 + 6

\newline

w =

____

Simplify equation: First, simplify the equation by combining like terms on the right side. $\newline$ $18w + 13 = 19w - 7 + 6$ $\newline$ $18w + 13 = 19w - 1$
Move terms to isolate: Next, move the variable terms to one side and the constant terms to the other side to isolate $w$ . $\newline$ Subtract $19w$ from both sides. $\newline$ $18w - 19w + 13 = 19w - 19w - 1$ $\newline$ $-1w + 13 = -1$
Move constant term: Now, move the constant term on the left side to the right side by subtracting $13$ from both sides. $\newline$ $-1w + 13 - 13 = -1 - 13$ $\newline$ $-1w = -14$
Divide to solve: Finally, divide both sides by $-1$ to solve for $w$ . $\frac{-1w}{-1} = \frac{-14}{-1}$ $w = 14$