-5w+35=-3(w-7)

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Solution for -5w+35=-3(w-7) equation:


Simplifying
-5w + 35 = -3(w + -7)

Reorder the terms:
35 + -5w = -3(w + -7)

Reorder the terms:
35 + -5w = -3(-7 + w)
35 + -5w = (-7 * -3 + w * -3)
35 + -5w = (21 + -3w)

Solving
35 + -5w = 21 + -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.
35 + -5w + 3w = 21 + -3w + 3w

Combine like terms: -5w + 3w = -2w
35 + -2w = 21 + -3w + 3w

Combine like terms: -3w + 3w = 0
35 + -2w = 21 + 0
35 + -2w = 21

Add '-35' to each side of the equation.
35 + -35 + -2w = 21 + -35

Combine like terms: 35 + -35 = 0
0 + -2w = 21 + -35
-2w = 21 + -35

Combine like terms: 21 + -35 = -14
-2w = -14

Divide each side by '-2'.
w = 7

Simplifying
w = 7

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