5w+7+3w+10=6w-9-4w+1

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Solution for 5w+7+3w+10=6w-9-4w+1 equation: 


Simplifying
5w + 7 + 3w + 10 = 6w + -9 + -4w + 1

Reorder the terms:
7 + 10 + 5w + 3w = 6w + -9 + -4w + 1

Combine like terms: 7 + 10 = 17
17 + 5w + 3w = 6w + -9 + -4w + 1

Combine like terms: 5w + 3w = 8w
17 + 8w = 6w + -9 + -4w + 1

Reorder the terms:
17 + 8w = -9 + 1 + 6w + -4w

Combine like terms: -9 + 1 = -8
17 + 8w = -8 + 6w + -4w

Combine like terms: 6w + -4w = 2w
17 + 8w = -8 + 2w

Solving
17 + 8w = -8 + 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.
17 + 8w + -2w = -8 + 2w + -2w

Combine like terms: 8w + -2w = 6w
17 + 6w = -8 + 2w + -2w

Combine like terms: 2w + -2w = 0
17 + 6w = -8 + 0
17 + 6w = -8

Add '-17' to each side of the equation.
17 + -17 + 6w = -8 + -17

Combine like terms: 17 + -17 = 0
0 + 6w = -8 + -17
6w = -8 + -17

Combine like terms: -8 + -17 = -25
6w = -25

Divide each side by '6'.
w = -4.166666667

Simplifying
w = -4.166666667

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