7w+1=6w-7

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Solution for 7w+1=6w-7 equation:


Simplifying
7w + 1 = 6w + -7

Reorder the terms:
1 + 7w = 6w + -7

Reorder the terms:
1 + 7w = -7 + 6w

Solving
1 + 7w = -7 + 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.
1 + 7w + -6w = -7 + 6w + -6w

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

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

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

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

Combine like terms: -7 + -1 = -8
1w = -8

Divide each side by '1'.
w = -8

Simplifying
w = -8

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