7(u+2)=3u-6

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


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

Reorder the terms:
7(2 + u) = 3u + -6
(2 * 7 + u * 7) = 3u + -6
(14 + 7u) = 3u + -6

Reorder the terms:
14 + 7u = -6 + 3u

Solving
14 + 7u = -6 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
14 + 7u + -3u = -6 + 3u + -3u

Combine like terms: 7u + -3u = 4u
14 + 4u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
14 + 4u = -6 + 0
14 + 4u = -6

Add '-14' to each side of the equation.
14 + -14 + 4u = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 4u = -6 + -14
4u = -6 + -14

Combine like terms: -6 + -14 = -20
4u = -20

Divide each side by '4'.
u = -5

Simplifying
u = -5

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