1.5(22-w)+13=2w-69.5

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Solution for 1.5(22-w)+13=2w-69.5 equation:


Simplifying
1.5(22 + -1w) + 13 = 2w + -69.5
(22 * 1.5 + -1w * 1.5) + 13 = 2w + -69.5
(33 + -1.5w) + 13 = 2w + -69.5

Reorder the terms:
33 + 13 + -1.5w = 2w + -69.5

Combine like terms: 33 + 13 = 46
46 + -1.5w = 2w + -69.5

Reorder the terms:
46 + -1.5w = -69.5 + 2w

Solving
46 + -1.5w = -69.5 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
46 + -1.5w + -2w = -69.5 + 2w + -2w

Combine like terms: -1.5w + -2w = -3.5w
46 + -3.5w = -69.5 + 2w + -2w

Combine like terms: 2w + -2w = 0
46 + -3.5w = -69.5 + 0
46 + -3.5w = -69.5

Add '-46' to each side of the equation.
46 + -46 + -3.5w = -69.5 + -46

Combine like terms: 46 + -46 = 0
0 + -3.5w = -69.5 + -46
-3.5w = -69.5 + -46

Combine like terms: -69.5 + -46 = -115.5
-3.5w = -115.5

Divide each side by '-3.5'.
w = 33

Simplifying
w = 33

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