5w+6=4w-7

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


Simplifying
5w + 6 = 4w + -7

Reorder the terms:
6 + 5w = 4w + -7

Reorder the terms:
6 + 5w = -7 + 4w

Solving
6 + 5w = -7 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
6 + 5w + -4w = -7 + 4w + -4w

Combine like terms: 5w + -4w = 1w
6 + 1w = -7 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + 1w = -7 + 0
6 + 1w = -7

Add '-6' to each side of the equation.
6 + -6 + 1w = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 1w = -7 + -6
1w = -7 + -6

Combine like terms: -7 + -6 = -13
1w = -13

Divide each side by '1'.
w = -13

Simplifying
w = -13

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