99(2+w)-4w=3w-10

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Solution for 99(2+w)-4w=3w-10 equation: 


Simplifying
99(2 + w) + -4w = 3w + -10
(2 * 99 + w * 99) + -4w = 3w + -10
(198 + 99w) + -4w = 3w + -10

Combine like terms: 99w + -4w = 95w
198 + 95w = 3w + -10

Reorder the terms:
198 + 95w = -10 + 3w

Solving
198 + 95w = -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.
198 + 95w + -3w = -10 + 3w + -3w

Combine like terms: 95w + -3w = 92w
198 + 92w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
198 + 92w = -10 + 0
198 + 92w = -10

Add '-198' to each side of the equation.
198 + -198 + 92w = -10 + -198

Combine like terms: 198 + -198 = 0
0 + 92w = -10 + -198
92w = -10 + -198

Combine like terms: -10 + -198 = -208
92w = -208

Divide each side by '92'.
w = -2.260869565

Simplifying
w = -2.260869565

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