-4(2w-5)=3w-13

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Solution for -4(2w-5)=3w-13 equation:


Simplifying
-4(2w + -5) = 3w + -13

Reorder the terms:
-4(-5 + 2w) = 3w + -13
(-5 * -4 + 2w * -4) = 3w + -13
(20 + -8w) = 3w + -13

Reorder the terms:
20 + -8w = -13 + 3w

Solving
20 + -8w = -13 + 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.
20 + -8w + -3w = -13 + 3w + -3w

Combine like terms: -8w + -3w = -11w
20 + -11w = -13 + 3w + -3w

Combine like terms: 3w + -3w = 0
20 + -11w = -13 + 0
20 + -11w = -13

Add '-20' to each side of the equation.
20 + -20 + -11w = -13 + -20

Combine like terms: 20 + -20 = 0
0 + -11w = -13 + -20
-11w = -13 + -20

Combine like terms: -13 + -20 = -33
-11w = -33

Divide each side by '-11'.
w = 3

Simplifying
w = 3

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