2(w-3)+7=1-5w

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Solution for 2(w-3)+7=1-5w equation:


Simplifying
2(w + -3) + 7 = 1 + -5w

Reorder the terms:
2(-3 + w) + 7 = 1 + -5w
(-3 * 2 + w * 2) + 7 = 1 + -5w
(-6 + 2w) + 7 = 1 + -5w

Reorder the terms:
-6 + 7 + 2w = 1 + -5w

Combine like terms: -6 + 7 = 1
1 + 2w = 1 + -5w

Add '-1' to each side of the equation.
1 + -1 + 2w = 1 + -1 + -5w

Combine like terms: 1 + -1 = 0
0 + 2w = 1 + -1 + -5w
2w = 1 + -1 + -5w

Combine like terms: 1 + -1 = 0
2w = 0 + -5w
2w = -5w

Solving
2w = -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
2w + 5w = -5w + 5w

Combine like terms: 2w + 5w = 7w
7w = -5w + 5w

Combine like terms: -5w + 5w = 0
7w = 0

Divide each side by '7'.
w = 0

Simplifying
w = 0

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