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

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


Simplifying
8(6 + w) = 7(w + -7)
(6 * 8 + w * 8) = 7(w + -7)
(48 + 8w) = 7(w + -7)

Reorder the terms:
48 + 8w = 7(-7 + w)
48 + 8w = (-7 * 7 + w * 7)
48 + 8w = (-49 + 7w)

Solving
48 + 8w = -49 + 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 = -49 + 7w + -7w

Combine like terms: 8w + -7w = 1w
48 + 1w = -49 + 7w + -7w

Combine like terms: 7w + -7w = 0
48 + 1w = -49 + 0
48 + 1w = -49

Add '-48' to each side of the equation.
48 + -48 + 1w = -49 + -48

Combine like terms: 48 + -48 = 0
0 + 1w = -49 + -48
1w = -49 + -48

Combine like terms: -49 + -48 = -97
1w = -97

Divide each side by '1'.
w = -97

Simplifying
w = -97

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