-5w-40=-3(w+8)

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Solution for -5w-40=-3(w+8) equation:


Simplifying
-5w + -40 = -3(w + 8)

Reorder the terms:
-40 + -5w = -3(w + 8)

Reorder the terms:
-40 + -5w = -3(8 + w)
-40 + -5w = (8 * -3 + w * -3)
-40 + -5w = (-24 + -3w)

Solving
-40 + -5w = -24 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
-40 + -5w + 3w = -24 + -3w + 3w

Combine like terms: -5w + 3w = -2w
-40 + -2w = -24 + -3w + 3w

Combine like terms: -3w + 3w = 0
-40 + -2w = -24 + 0
-40 + -2w = -24

Add '40' to each side of the equation.
-40 + 40 + -2w = -24 + 40

Combine like terms: -40 + 40 = 0
0 + -2w = -24 + 40
-2w = -24 + 40

Combine like terms: -24 + 40 = 16
-2w = 16

Divide each side by '-2'.
w = -8

Simplifying
w = -8

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