7(u+2)=-2(5u-1)+3u

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Solution for 7(u+2)=-2(5u-1)+3u equation:


Simplifying
7(u + 2) = -2(5u + -1) + 3u

Reorder the terms:
7(2 + u) = -2(5u + -1) + 3u
(2 * 7 + u * 7) = -2(5u + -1) + 3u
(14 + 7u) = -2(5u + -1) + 3u

Reorder the terms:
14 + 7u = -2(-1 + 5u) + 3u
14 + 7u = (-1 * -2 + 5u * -2) + 3u
14 + 7u = (2 + -10u) + 3u

Combine like terms: -10u + 3u = -7u
14 + 7u = 2 + -7u

Solving
14 + 7u = 2 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
14 + 7u + 7u = 2 + -7u + 7u

Combine like terms: 7u + 7u = 14u
14 + 14u = 2 + -7u + 7u

Combine like terms: -7u + 7u = 0
14 + 14u = 2 + 0
14 + 14u = 2

Add '-14' to each side of the equation.
14 + -14 + 14u = 2 + -14

Combine like terms: 14 + -14 = 0
0 + 14u = 2 + -14
14u = 2 + -14

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

Divide each side by '14'.
u = -0.8571428571

Simplifying
u = -0.8571428571

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