17-3w-15=6w+30-2w

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Solution for 17-3w-15=6w+30-2w equation:


Simplifying
17 + -3w + -15 = 6w + 30 + -2w

Reorder the terms:
17 + -15 + -3w = 6w + 30 + -2w

Combine like terms: 17 + -15 = 2
2 + -3w = 6w + 30 + -2w

Reorder the terms:
2 + -3w = 30 + 6w + -2w

Combine like terms: 6w + -2w = 4w
2 + -3w = 30 + 4w

Solving
2 + -3w = 30 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
2 + -3w + -4w = 30 + 4w + -4w

Combine like terms: -3w + -4w = -7w
2 + -7w = 30 + 4w + -4w

Combine like terms: 4w + -4w = 0
2 + -7w = 30 + 0
2 + -7w = 30

Add '-2' to each side of the equation.
2 + -2 + -7w = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -7w = 30 + -2
-7w = 30 + -2

Combine like terms: 30 + -2 = 28
-7w = 28

Divide each side by '-7'.
w = -4

Simplifying
w = -4

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