7+6w=8w-13

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Solution for 7+6w=8w-13 equation:


Simplifying
7 + 6w = 8w + -13

Reorder the terms:
7 + 6w = -13 + 8w

Solving
7 + 6w = -13 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
7 + 6w + -8w = -13 + 8w + -8w

Combine like terms: 6w + -8w = -2w
7 + -2w = -13 + 8w + -8w

Combine like terms: 8w + -8w = 0
7 + -2w = -13 + 0
7 + -2w = -13

Add '-7' to each side of the equation.
7 + -7 + -2w = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -2w = -13 + -7
-2w = -13 + -7

Combine like terms: -13 + -7 = -20
-2w = -20

Divide each side by '-2'.
w = 10

Simplifying
w = 10

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