7u-8=2(u+6)

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Solution for 7u-8=2(u+6) equation:


Simplifying
7u + -8 = 2(u + 6)

Reorder the terms:
-8 + 7u = 2(u + 6)

Reorder the terms:
-8 + 7u = 2(6 + u)
-8 + 7u = (6 * 2 + u * 2)
-8 + 7u = (12 + 2u)

Solving
-8 + 7u = 12 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
-8 + 7u + -2u = 12 + 2u + -2u

Combine like terms: 7u + -2u = 5u
-8 + 5u = 12 + 2u + -2u

Combine like terms: 2u + -2u = 0
-8 + 5u = 12 + 0
-8 + 5u = 12

Add '8' to each side of the equation.
-8 + 8 + 5u = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 5u = 12 + 8
5u = 12 + 8

Combine like terms: 12 + 8 = 20
5u = 20

Divide each side by '5'.
u = 4

Simplifying
u = 4

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