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

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Solution for 6(u+3)=-3(4u-4)+2u equation:


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

Reorder the terms:
6(3 + u) = -3(4u + -4) + 2u
(3 * 6 + u * 6) = -3(4u + -4) + 2u
(18 + 6u) = -3(4u + -4) + 2u

Reorder the terms:
18 + 6u = -3(-4 + 4u) + 2u
18 + 6u = (-4 * -3 + 4u * -3) + 2u
18 + 6u = (12 + -12u) + 2u

Combine like terms: -12u + 2u = -10u
18 + 6u = 12 + -10u

Solving
18 + 6u = 12 + -10u

Solving for variable 'u'.

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

Add '10u' to each side of the equation.
18 + 6u + 10u = 12 + -10u + 10u

Combine like terms: 6u + 10u = 16u
18 + 16u = 12 + -10u + 10u

Combine like terms: -10u + 10u = 0
18 + 16u = 12 + 0
18 + 16u = 12

Add '-18' to each side of the equation.
18 + -18 + 16u = 12 + -18

Combine like terms: 18 + -18 = 0
0 + 16u = 12 + -18
16u = 12 + -18

Combine like terms: 12 + -18 = -6
16u = -6

Divide each side by '16'.
u = -0.375

Simplifying
u = -0.375

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