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

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


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

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

Reorder the terms:
20 + 5u = -4(-4 + 4u) + 3u
20 + 5u = (-4 * -4 + 4u * -4) + 3u
20 + 5u = (16 + -16u) + 3u

Combine like terms: -16u + 3u = -13u
20 + 5u = 16 + -13u

Solving
20 + 5u = 16 + -13u

Solving for variable 'u'.

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

Add '13u' to each side of the equation.
20 + 5u + 13u = 16 + -13u + 13u

Combine like terms: 5u + 13u = 18u
20 + 18u = 16 + -13u + 13u

Combine like terms: -13u + 13u = 0
20 + 18u = 16 + 0
20 + 18u = 16

Add '-20' to each side of the equation.
20 + -20 + 18u = 16 + -20

Combine like terms: 20 + -20 = 0
0 + 18u = 16 + -20
18u = 16 + -20

Combine like terms: 16 + -20 = -4
18u = -4

Divide each side by '18'.
u = -0.2222222222

Simplifying
u = -0.2222222222

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