3(w-2)+7=1-3w

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Solution for 3(w-2)+7=1-3w equation: 


Simplifying
3(w + -2) + 7 = 1 + -3w

Reorder the terms:
3(-2 + w) + 7 = 1 + -3w
(-2 * 3 + w * 3) + 7 = 1 + -3w
(-6 + 3w) + 7 = 1 + -3w

Reorder the terms:
-6 + 7 + 3w = 1 + -3w

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

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

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

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

Solving
3w = -3w

Solving for variable 'w'.

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

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

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

Combine like terms: -3w + 3w = 0
6w = 0

Divide each side by '6'.
w = 0

Simplifying
w = 0

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