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

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


Simplifying
9(2 + -1w) + -4w = 3w + -10
(2 * 9 + -1w * 9) + -4w = 3w + -10
(18 + -9w) + -4w = 3w + -10

Combine like terms: -9w + -4w = -13w
18 + -13w = 3w + -10

Reorder the terms:
18 + -13w = -10 + 3w

Solving
18 + -13w = -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 + -13w + -3w = -10 + 3w + -3w

Combine like terms: -13w + -3w = -16w
18 + -16w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
18 + -16w = -10 + 0
18 + -16w = -10

Add '-18' to each side of the equation.
18 + -18 + -16w = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -16w = -10 + -18
-16w = -10 + -18

Combine like terms: -10 + -18 = -28
-16w = -28

Divide each side by '-16'.
w = 1.75

Simplifying
w = 1.75

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