7(w+5)=6w-4

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Solution for 7(w+5)=6w-4 equation:


Simplifying
7(w + 5) = 6w + -4

Reorder the terms:
7(5 + w) = 6w + -4
(5 * 7 + w * 7) = 6w + -4
(35 + 7w) = 6w + -4

Reorder the terms:
35 + 7w = -4 + 6w

Solving
35 + 7w = -4 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
35 + 7w + -6w = -4 + 6w + -6w

Combine like terms: 7w + -6w = 1w
35 + 1w = -4 + 6w + -6w

Combine like terms: 6w + -6w = 0
35 + 1w = -4 + 0
35 + 1w = -4

Add '-35' to each side of the equation.
35 + -35 + 1w = -4 + -35

Combine like terms: 35 + -35 = 0
0 + 1w = -4 + -35
1w = -4 + -35

Combine like terms: -4 + -35 = -39
1w = -39

Divide each side by '1'.
w = -39

Simplifying
w = -39

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