-5w+3(w-7)=-31

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Solution for -5w+3(w-7)=-31 equation:


Simplifying
-5w + 3(w + -7) = -31

Reorder the terms:
-5w + 3(-7 + w) = -31
-5w + (-7 * 3 + w * 3) = -31
-5w + (-21 + 3w) = -31

Reorder the terms:
-21 + -5w + 3w = -31

Combine like terms: -5w + 3w = -2w
-21 + -2w = -31

Solving
-21 + -2w = -31

Solving for variable 'w'.

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

Add '21' to each side of the equation.
-21 + 21 + -2w = -31 + 21

Combine like terms: -21 + 21 = 0
0 + -2w = -31 + 21
-2w = -31 + 21

Combine like terms: -31 + 21 = -10
-2w = -10

Divide each side by '-2'.
w = 5

Simplifying
w = 5

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