6(w+8)=-7w-30

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Solution for 6(w+8)=-7w-30 equation: 


Simplifying
6(w + 8) = -7w + -30

Reorder the terms:
6(8 + w) = -7w + -30
(8 * 6 + w * 6) = -7w + -30
(48 + 6w) = -7w + -30

Reorder the terms:
48 + 6w = -30 + -7w

Solving
48 + 6w = -30 + -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.
48 + 6w + 7w = -30 + -7w + 7w

Combine like terms: 6w + 7w = 13w
48 + 13w = -30 + -7w + 7w

Combine like terms: -7w + 7w = 0
48 + 13w = -30 + 0
48 + 13w = -30

Add '-48' to each side of the equation.
48 + -48 + 13w = -30 + -48

Combine like terms: 48 + -48 = 0
0 + 13w = -30 + -48
13w = -30 + -48

Combine like terms: -30 + -48 = -78
13w = -78

Divide each side by '13'.
w = -6

Simplifying
w = -6

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