3(w-2)+7=1-6w

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Solution for 3(w-2)+7=1-6w equation:


Simplifying
3(w + -2) + 7 = 1 + -6w

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 3w = 1 + -1 + -6w

Combine like terms: 1 + -1 = 0
0 + 3w = 1 + -1 + -6w
3w = 1 + -1 + -6w

Combine like terms: 1 + -1 = 0
3w = 0 + -6w
3w = -6w

Solving
3w = -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.
3w + 6w = -6w + 6w

Combine like terms: 3w + 6w = 9w
9w = -6w + 6w

Combine like terms: -6w + 6w = 0
9w = 0

Divide each side by '9'.
w = 0

Simplifying
w = 0

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