5w-7=-8(w+3)

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Solution for 5w-7=-8(w+3) equation:


Simplifying
5w + -7 = -8(w + 3)

Reorder the terms:
-7 + 5w = -8(w + 3)

Reorder the terms:
-7 + 5w = -8(3 + w)
-7 + 5w = (3 * -8 + w * -8)
-7 + 5w = (-24 + -8w)

Solving
-7 + 5w = -24 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
-7 + 5w + 8w = -24 + -8w + 8w

Combine like terms: 5w + 8w = 13w
-7 + 13w = -24 + -8w + 8w

Combine like terms: -8w + 8w = 0
-7 + 13w = -24 + 0
-7 + 13w = -24

Add '7' to each side of the equation.
-7 + 7 + 13w = -24 + 7

Combine like terms: -7 + 7 = 0
0 + 13w = -24 + 7
13w = -24 + 7

Combine like terms: -24 + 7 = -17
13w = -17

Divide each side by '13'.
w = -1.307692308

Simplifying
w = -1.307692308

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