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

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


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

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

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

Solving
-5 + -3w = -35 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
-5 + -3w + 7w = -35 + -7w + 7w

Combine like terms: -3w + 7w = 4w
-5 + 4w = -35 + -7w + 7w

Combine like terms: -7w + 7w = 0
-5 + 4w = -35 + 0
-5 + 4w = -35

Add '5' to each side of the equation.
-5 + 5 + 4w = -35 + 5

Combine like terms: -5 + 5 = 0
0 + 4w = -35 + 5
4w = -35 + 5

Combine like terms: -35 + 5 = -30
4w = -30

Divide each side by '4'.
w = -7.5

Simplifying
w = -7.5

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