8(w+7)=3w+21

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Solution for 8(w+7)=3w+21 equation:


Simplifying
8(w + 7) = 3w + 21

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

Reorder the terms:
56 + 8w = 21 + 3w

Solving
56 + 8w = 21 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
56 + 8w + -3w = 21 + 3w + -3w

Combine like terms: 8w + -3w = 5w
56 + 5w = 21 + 3w + -3w

Combine like terms: 3w + -3w = 0
56 + 5w = 21 + 0
56 + 5w = 21

Add '-56' to each side of the equation.
56 + -56 + 5w = 21 + -56

Combine like terms: 56 + -56 = 0
0 + 5w = 21 + -56
5w = 21 + -56

Combine like terms: 21 + -56 = -35
5w = -35

Divide each side by '5'.
w = -7

Simplifying
w = -7

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