15-2w-2=2(w-15)-1

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Solution for 15-2w-2=2(w-15)-1 equation:


Simplifying
15 + -2w + -2 = 2(w + -15) + -1

Reorder the terms:
15 + -2 + -2w = 2(w + -15) + -1

Combine like terms: 15 + -2 = 13
13 + -2w = 2(w + -15) + -1

Reorder the terms:
13 + -2w = 2(-15 + w) + -1
13 + -2w = (-15 * 2 + w * 2) + -1
13 + -2w = (-30 + 2w) + -1

Reorder the terms:
13 + -2w = -30 + -1 + 2w

Combine like terms: -30 + -1 = -31
13 + -2w = -31 + 2w

Solving
13 + -2w = -31 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
13 + -2w + -2w = -31 + 2w + -2w

Combine like terms: -2w + -2w = -4w
13 + -4w = -31 + 2w + -2w

Combine like terms: 2w + -2w = 0
13 + -4w = -31 + 0
13 + -4w = -31

Add '-13' to each side of the equation.
13 + -13 + -4w = -31 + -13

Combine like terms: 13 + -13 = 0
0 + -4w = -31 + -13
-4w = -31 + -13

Combine like terms: -31 + -13 = -44
-4w = -44

Divide each side by '-4'.
w = 11

Simplifying
w = 11

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