-7w+40=-5(w-4)

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Solution for -7w+40=-5(w-4) equation:


Simplifying
-7w + 40 = -5(w + -4)

Reorder the terms:
40 + -7w = -5(w + -4)

Reorder the terms:
40 + -7w = -5(-4 + w)
40 + -7w = (-4 * -5 + w * -5)
40 + -7w = (20 + -5w)

Solving
40 + -7w = 20 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
40 + -7w + 5w = 20 + -5w + 5w

Combine like terms: -7w + 5w = -2w
40 + -2w = 20 + -5w + 5w

Combine like terms: -5w + 5w = 0
40 + -2w = 20 + 0
40 + -2w = 20

Add '-40' to each side of the equation.
40 + -40 + -2w = 20 + -40

Combine like terms: 40 + -40 = 0
0 + -2w = 20 + -40
-2w = 20 + -40

Combine like terms: 20 + -40 = -20
-2w = -20

Divide each side by '-2'.
w = 10

Simplifying
w = 10

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