7(w-8)-(2+3w)=3w

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Solution for 7(w-8)-(2+3w)=3w equation:


Simplifying
7(w + -8) + -1(2 + 3w) = 3w

Reorder the terms:
7(-8 + w) + -1(2 + 3w) = 3w
(-8 * 7 + w * 7) + -1(2 + 3w) = 3w
(-56 + 7w) + -1(2 + 3w) = 3w
-56 + 7w + (2 * -1 + 3w * -1) = 3w
-56 + 7w + (-2 + -3w) = 3w

Reorder the terms:
-56 + -2 + 7w + -3w = 3w

Combine like terms: -56 + -2 = -58
-58 + 7w + -3w = 3w

Combine like terms: 7w + -3w = 4w
-58 + 4w = 3w

Solving
-58 + 4w = 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.
-58 + 4w + -3w = 3w + -3w

Combine like terms: 4w + -3w = 1w
-58 + 1w = 3w + -3w

Combine like terms: 3w + -3w = 0
-58 + 1w = 0

Add '58' to each side of the equation.
-58 + 58 + 1w = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 1w = 0 + 58
1w = 0 + 58

Combine like terms: 0 + 58 = 58
1w = 58

Divide each side by '1'.
w = 58

Simplifying
w = 58

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