5(w+4)=-4w+47

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Solution for 5(w+4)=-4w+47 equation:


Simplifying
5(w + 4) = -4w + 47

Reorder the terms:
5(4 + w) = -4w + 47
(4 * 5 + w * 5) = -4w + 47
(20 + 5w) = -4w + 47

Reorder the terms:
20 + 5w = 47 + -4w

Solving
20 + 5w = 47 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
20 + 5w + 4w = 47 + -4w + 4w

Combine like terms: 5w + 4w = 9w
20 + 9w = 47 + -4w + 4w

Combine like terms: -4w + 4w = 0
20 + 9w = 47 + 0
20 + 9w = 47

Add '-20' to each side of the equation.
20 + -20 + 9w = 47 + -20

Combine like terms: 20 + -20 = 0
0 + 9w = 47 + -20
9w = 47 + -20

Combine like terms: 47 + -20 = 27
9w = 27

Divide each side by '9'.
w = 3

Simplifying
w = 3

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