4(u+3)=-4(4u-7)+8u

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Solution for 4(u+3)=-4(4u-7)+8u equation: 


Simplifying
4(u + 3) = -4(4u + -7) + 8u

Reorder the terms:
4(3 + u) = -4(4u + -7) + 8u
(3 * 4 + u * 4) = -4(4u + -7) + 8u
(12 + 4u) = -4(4u + -7) + 8u

Reorder the terms:
12 + 4u = -4(-7 + 4u) + 8u
12 + 4u = (-7 * -4 + 4u * -4) + 8u
12 + 4u = (28 + -16u) + 8u

Combine like terms: -16u + 8u = -8u
12 + 4u = 28 + -8u

Solving
12 + 4u = 28 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
12 + 4u + 8u = 28 + -8u + 8u

Combine like terms: 4u + 8u = 12u
12 + 12u = 28 + -8u + 8u

Combine like terms: -8u + 8u = 0
12 + 12u = 28 + 0
12 + 12u = 28

Add '-12' to each side of the equation.
12 + -12 + 12u = 28 + -12

Combine like terms: 12 + -12 = 0
0 + 12u = 28 + -12
12u = 28 + -12

Combine like terms: 28 + -12 = 16
12u = 16

Divide each side by '12'.
u = 1.333333333

Simplifying
u = 1.333333333

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