4(w+7)-5w+2=10

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Solution for 4(w+7)-5w+2=10 equation:


Simplifying
4(w + 7) + -5w + 2 = 10

Reorder the terms:
4(7 + w) + -5w + 2 = 10
(7 * 4 + w * 4) + -5w + 2 = 10
(28 + 4w) + -5w + 2 = 10

Reorder the terms:
28 + 2 + 4w + -5w = 10

Combine like terms: 28 + 2 = 30
30 + 4w + -5w = 10

Combine like terms: 4w + -5w = -1w
30 + -1w = 10

Solving
30 + -1w = 10

Solving for variable 'w'.

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

Add '-30' to each side of the equation.
30 + -30 + -1w = 10 + -30

Combine like terms: 30 + -30 = 0
0 + -1w = 10 + -30
-1w = 10 + -30

Combine like terms: 10 + -30 = -20
-1w = -20

Divide each side by '-1'.
w = 20

Simplifying
w = 20

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