8(w+6)=7w-2

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Solution for 8(w+6)=7w-2 equation: 


Simplifying
8(w + 6) = 7w + -2

Reorder the terms:
8(6 + w) = 7w + -2
(6 * 8 + w * 8) = 7w + -2
(48 + 8w) = 7w + -2

Reorder the terms:
48 + 8w = -2 + 7w

Solving
48 + 8w = -2 + 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 + 8w + -7w = -2 + 7w + -7w

Combine like terms: 8w + -7w = 1w
48 + 1w = -2 + 7w + -7w

Combine like terms: 7w + -7w = 0
48 + 1w = -2 + 0
48 + 1w = -2

Add '-48' to each side of the equation.
48 + -48 + 1w = -2 + -48

Combine like terms: 48 + -48 = 0
0 + 1w = -2 + -48
1w = -2 + -48

Combine like terms: -2 + -48 = -50
1w = -50

Divide each side by '1'.
w = -50

Simplifying
w = -50

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