3(8-w)+2(w+2)=34

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Solution for 3(8-w)+2(w+2)=34 equation: 


Simplifying
3(8 + -1w) + 2(w + 2) = 34
(8 * 3 + -1w * 3) + 2(w + 2) = 34
(24 + -3w) + 2(w + 2) = 34

Reorder the terms:
24 + -3w + 2(2 + w) = 34
24 + -3w + (2 * 2 + w * 2) = 34
24 + -3w + (4 + 2w) = 34

Reorder the terms:
24 + 4 + -3w + 2w = 34

Combine like terms: 24 + 4 = 28
28 + -3w + 2w = 34

Combine like terms: -3w + 2w = -1w
28 + -1w = 34

Solving
28 + -1w = 34

Solving for variable 'w'.

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

Add '-28' to each side of the equation.
28 + -28 + -1w = 34 + -28

Combine like terms: 28 + -28 = 0
0 + -1w = 34 + -28
-1w = 34 + -28

Combine like terms: 34 + -28 = 6
-1w = 6

Divide each side by '-1'.
w = -6

Simplifying
w = -6

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