5(4w+4)=-10(-3w-8)

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Solution for 5(4w+4)=-10(-3w-8) equation:


Simplifying
5(4w + 4) = -10(-3w + -8)

Reorder the terms:
5(4 + 4w) = -10(-3w + -8)
(4 * 5 + 4w * 5) = -10(-3w + -8)
(20 + 20w) = -10(-3w + -8)

Reorder the terms:
20 + 20w = -10(-8 + -3w)
20 + 20w = (-8 * -10 + -3w * -10)
20 + 20w = (80 + 30w)

Solving
20 + 20w = 80 + 30w

Solving for variable 'w'.

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

Add '-30w' to each side of the equation.
20 + 20w + -30w = 80 + 30w + -30w

Combine like terms: 20w + -30w = -10w
20 + -10w = 80 + 30w + -30w

Combine like terms: 30w + -30w = 0
20 + -10w = 80 + 0
20 + -10w = 80

Add '-20' to each side of the equation.
20 + -20 + -10w = 80 + -20

Combine like terms: 20 + -20 = 0
0 + -10w = 80 + -20
-10w = 80 + -20

Combine like terms: 80 + -20 = 60
-10w = 60

Divide each side by '-10'.
w = -6

Simplifying
w = -6

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