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

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


Simplifying
8(7 + w) = 7(w + -3)
(7 * 8 + w * 8) = 7(w + -3)
(56 + 8w) = 7(w + -3)

Reorder the terms:
56 + 8w = 7(-3 + w)
56 + 8w = (-3 * 7 + w * 7)
56 + 8w = (-21 + 7w)

Solving
56 + 8w = -21 + 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.
56 + 8w + -7w = -21 + 7w + -7w

Combine like terms: 8w + -7w = 1w
56 + 1w = -21 + 7w + -7w

Combine like terms: 7w + -7w = 0
56 + 1w = -21 + 0
56 + 1w = -21

Add '-56' to each side of the equation.
56 + -56 + 1w = -21 + -56

Combine like terms: 56 + -56 = 0
0 + 1w = -21 + -56
1w = -21 + -56

Combine like terms: -21 + -56 = -77
1w = -77

Divide each side by '1'.
w = -77

Simplifying
w = -77

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