-4(w-5)=-7w+29

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Solution for -4(w-5)=-7w+29 equation:


Simplifying
-4(w + -5) = -7w + 29

Reorder the terms:
-4(-5 + w) = -7w + 29
(-5 * -4 + w * -4) = -7w + 29
(20 + -4w) = -7w + 29

Reorder the terms:
20 + -4w = 29 + -7w

Solving
20 + -4w = 29 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
20 + -4w + 7w = 29 + -7w + 7w

Combine like terms: -4w + 7w = 3w
20 + 3w = 29 + -7w + 7w

Combine like terms: -7w + 7w = 0
20 + 3w = 29 + 0
20 + 3w = 29

Add '-20' to each side of the equation.
20 + -20 + 3w = 29 + -20

Combine like terms: 20 + -20 = 0
0 + 3w = 29 + -20
3w = 29 + -20

Combine like terms: 29 + -20 = 9
3w = 9

Divide each side by '3'.
w = 3

Simplifying
w = 3

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