3w-7=w+1

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


Simplifying
3w + -7 = w + 1

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

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

Solving
-7 + 3w = 1 + 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.
-7 + 3w + -1w = 1 + w + -1w

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

Combine like terms: w + -1w = 0
-7 + 2w = 1 + 0
-7 + 2w = 1

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

Combine like terms: -7 + 7 = 0
0 + 2w = 1 + 7
2w = 1 + 7

Combine like terms: 1 + 7 = 8
2w = 8

Divide each side by '2'.
w = 4

Simplifying
w = 4

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