4(u+3)=-2(6u-7)+2u

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Solution for 4(u+3)=-2(6u-7)+2u equation:


Simplifying
4(u + 3) = -2(6u + -7) + 2u

Reorder the terms:
4(3 + u) = -2(6u + -7) + 2u
(3 * 4 + u * 4) = -2(6u + -7) + 2u
(12 + 4u) = -2(6u + -7) + 2u

Reorder the terms:
12 + 4u = -2(-7 + 6u) + 2u
12 + 4u = (-7 * -2 + 6u * -2) + 2u
12 + 4u = (14 + -12u) + 2u

Combine like terms: -12u + 2u = -10u
12 + 4u = 14 + -10u

Solving
12 + 4u = 14 + -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.
12 + 4u + 10u = 14 + -10u + 10u

Combine like terms: 4u + 10u = 14u
12 + 14u = 14 + -10u + 10u

Combine like terms: -10u + 10u = 0
12 + 14u = 14 + 0
12 + 14u = 14

Add '-12' to each side of the equation.
12 + -12 + 14u = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 14u = 14 + -12
14u = 14 + -12

Combine like terms: 14 + -12 = 2
14u = 2

Divide each side by '14'.
u = 0.1428571429

Simplifying
u = 0.1428571429

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