-1(w-10)=3w-2-7+8

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Solution for -1(w-10)=3w-2-7+8 equation: 


Simplifying
-1(w + -10) = 3w + -2 + -7 + 8

Reorder the terms:
-1(-10 + w) = 3w + -2 + -7 + 8
(-10 * -1 + w * -1) = 3w + -2 + -7 + 8
(10 + -1w) = 3w + -2 + -7 + 8

Reorder the terms:
10 + -1w = -2 + -7 + 8 + 3w

Combine like terms: -2 + -7 = -9
10 + -1w = -9 + 8 + 3w

Combine like terms: -9 + 8 = -1
10 + -1w = -1 + 3w

Solving
10 + -1w = -1 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
10 + -1w + -3w = -1 + 3w + -3w

Combine like terms: -1w + -3w = -4w
10 + -4w = -1 + 3w + -3w

Combine like terms: 3w + -3w = 0
10 + -4w = -1 + 0
10 + -4w = -1

Add '-10' to each side of the equation.
10 + -10 + -4w = -1 + -10

Combine like terms: 10 + -10 = 0
0 + -4w = -1 + -10
-4w = -1 + -10

Combine like terms: -1 + -10 = -11
-4w = -11

Divide each side by '-4'.
w = 2.75

Simplifying
w = 2.75

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