9(2+w)-4w=3w-10

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Solution for 9(2+w)-4w=3w-10 equation: 


Simplifying
9(2 + w) + -4w = 3w + -10
(2 * 9 + w * 9) + -4w = 3w + -10
(18 + 9w) + -4w = 3w + -10

Combine like terms: 9w + -4w = 5w
18 + 5w = 3w + -10

Reorder the terms:
18 + 5w = -10 + 3w

Solving
18 + 5w = -10 + 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.
18 + 5w + -3w = -10 + 3w + -3w

Combine like terms: 5w + -3w = 2w
18 + 2w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
18 + 2w = -10 + 0
18 + 2w = -10

Add '-18' to each side of the equation.
18 + -18 + 2w = -10 + -18

Combine like terms: 18 + -18 = 0
0 + 2w = -10 + -18
2w = -10 + -18

Combine like terms: -10 + -18 = -28
2w = -28

Divide each side by '2'.
w = -14

Simplifying
w = -14

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