w-3w+1=w+7

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Solution for w-3w+1=w+7 equation:


Simplifying
w + -3w + 1 = w + 7

Reorder the terms:
1 + w + -3w = w + 7

Combine like terms: w + -3w = -2w
1 + -2w = w + 7

Reorder the terms:
1 + -2w = 7 + w

Solving
1 + -2w = 7 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
1 + -2w + -1w = 7 + w + -1w

Combine like terms: -2w + -1w = -3w
1 + -3w = 7 + w + -1w

Combine like terms: w + -1w = 0
1 + -3w = 7 + 0
1 + -3w = 7

Add '-1' to each side of the equation.
1 + -1 + -3w = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -3w = 7 + -1
-3w = 7 + -1

Combine like terms: 7 + -1 = 6
-3w = 6

Divide each side by '-3'.
w = -2

Simplifying
w = -2

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