7(u+6)-4u=27

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Solution for 7(u+6)-4u=27 equation:


Simplifying
7(u + 6) + -4u = 27

Reorder the terms:
7(6 + u) + -4u = 27
(6 * 7 + u * 7) + -4u = 27
(42 + 7u) + -4u = 27

Combine like terms: 7u + -4u = 3u
42 + 3u = 27

Solving
42 + 3u = 27

Solving for variable 'u'.

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

Add '-42' to each side of the equation.
42 + -42 + 3u = 27 + -42

Combine like terms: 42 + -42 = 0
0 + 3u = 27 + -42
3u = 27 + -42

Combine like terms: 27 + -42 = -15
3u = -15

Divide each side by '3'.
u = -5

Simplifying
u = -5

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