3(u+8)=-7(3u-2)+8u

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Solution for 3(u+8)=-7(3u-2)+8u equation:


Simplifying
3(u + 8) = -7(3u + -2) + 8u

Reorder the terms:
3(8 + u) = -7(3u + -2) + 8u
(8 * 3 + u * 3) = -7(3u + -2) + 8u
(24 + 3u) = -7(3u + -2) + 8u

Reorder the terms:
24 + 3u = -7(-2 + 3u) + 8u
24 + 3u = (-2 * -7 + 3u * -7) + 8u
24 + 3u = (14 + -21u) + 8u

Combine like terms: -21u + 8u = -13u
24 + 3u = 14 + -13u

Solving
24 + 3u = 14 + -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.
24 + 3u + 13u = 14 + -13u + 13u

Combine like terms: 3u + 13u = 16u
24 + 16u = 14 + -13u + 13u

Combine like terms: -13u + 13u = 0
24 + 16u = 14 + 0
24 + 16u = 14

Add '-24' to each side of the equation.
24 + -24 + 16u = 14 + -24

Combine like terms: 24 + -24 = 0
0 + 16u = 14 + -24
16u = 14 + -24

Combine like terms: 14 + -24 = -10
16u = -10

Divide each side by '16'.
u = -0.625

Simplifying
u = -0.625

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