3(u+6)=-3(4u-8)+7u

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Solution for 3(u+6)=-3(4u-8)+7u equation:


Simplifying
3(u + 6) = -3(4u + -8) + 7u

Reorder the terms:
3(6 + u) = -3(4u + -8) + 7u
(6 * 3 + u * 3) = -3(4u + -8) + 7u
(18 + 3u) = -3(4u + -8) + 7u

Reorder the terms:
18 + 3u = -3(-8 + 4u) + 7u
18 + 3u = (-8 * -3 + 4u * -3) + 7u
18 + 3u = (24 + -12u) + 7u

Combine like terms: -12u + 7u = -5u
18 + 3u = 24 + -5u

Solving
18 + 3u = 24 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
18 + 3u + 5u = 24 + -5u + 5u

Combine like terms: 3u + 5u = 8u
18 + 8u = 24 + -5u + 5u

Combine like terms: -5u + 5u = 0
18 + 8u = 24 + 0
18 + 8u = 24

Add '-18' to each side of the equation.
18 + -18 + 8u = 24 + -18

Combine like terms: 18 + -18 = 0
0 + 8u = 24 + -18
8u = 24 + -18

Combine like terms: 24 + -18 = 6
8u = 6

Divide each side by '8'.
u = 0.75

Simplifying
u = 0.75

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