4(u+5)=-3(2u-4)+4u

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Solution for 4(u+5)=-3(2u-4)+4u equation:


Simplifying
4(u + 5) = -3(2u + -4) + 4u

Reorder the terms:
4(5 + u) = -3(2u + -4) + 4u
(5 * 4 + u * 4) = -3(2u + -4) + 4u
(20 + 4u) = -3(2u + -4) + 4u

Reorder the terms:
20 + 4u = -3(-4 + 2u) + 4u
20 + 4u = (-4 * -3 + 2u * -3) + 4u
20 + 4u = (12 + -6u) + 4u

Combine like terms: -6u + 4u = -2u
20 + 4u = 12 + -2u

Solving
20 + 4u = 12 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
20 + 4u + 2u = 12 + -2u + 2u

Combine like terms: 4u + 2u = 6u
20 + 6u = 12 + -2u + 2u

Combine like terms: -2u + 2u = 0
20 + 6u = 12 + 0
20 + 6u = 12

Add '-20' to each side of the equation.
20 + -20 + 6u = 12 + -20

Combine like terms: 20 + -20 = 0
0 + 6u = 12 + -20
6u = 12 + -20

Combine like terms: 12 + -20 = -8
6u = -8

Divide each side by '6'.
u = -1.333333333

Simplifying
u = -1.333333333

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