-7w+40=-9(w-4)

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Solution for -7w+40=-9(w-4) equation:


Simplifying
-7w + 40 = -9(w + -4)

Reorder the terms:
40 + -7w = -9(w + -4)

Reorder the terms:
40 + -7w = -9(-4 + w)
40 + -7w = (-4 * -9 + w * -9)
40 + -7w = (36 + -9w)

Solving
40 + -7w = 36 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
40 + -7w + 9w = 36 + -9w + 9w

Combine like terms: -7w + 9w = 2w
40 + 2w = 36 + -9w + 9w

Combine like terms: -9w + 9w = 0
40 + 2w = 36 + 0
40 + 2w = 36

Add '-40' to each side of the equation.
40 + -40 + 2w = 36 + -40

Combine like terms: 40 + -40 = 0
0 + 2w = 36 + -40
2w = 36 + -40

Combine like terms: 36 + -40 = -4
2w = -4

Divide each side by '2'.
w = -2

Simplifying
w = -2

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