7u+7-3(-3u-1)=6(u-1)

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Solution for 7u+7-3(-3u-1)=6(u-1) equation:


Simplifying
7u + 7 + -3(-3u + -1) = 6(u + -1)

Reorder the terms:
7u + 7 + -3(-1 + -3u) = 6(u + -1)
7u + 7 + (-1 * -3 + -3u * -3) = 6(u + -1)
7u + 7 + (3 + 9u) = 6(u + -1)

Reorder the terms:
7 + 3 + 7u + 9u = 6(u + -1)

Combine like terms: 7 + 3 = 10
10 + 7u + 9u = 6(u + -1)

Combine like terms: 7u + 9u = 16u
10 + 16u = 6(u + -1)

Reorder the terms:
10 + 16u = 6(-1 + u)
10 + 16u = (-1 * 6 + u * 6)
10 + 16u = (-6 + 6u)

Solving
10 + 16u = -6 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
10 + 16u + -6u = -6 + 6u + -6u

Combine like terms: 16u + -6u = 10u
10 + 10u = -6 + 6u + -6u

Combine like terms: 6u + -6u = 0
10 + 10u = -6 + 0
10 + 10u = -6

Add '-10' to each side of the equation.
10 + -10 + 10u = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 10u = -6 + -10
10u = -6 + -10

Combine like terms: -6 + -10 = -16
10u = -16

Divide each side by '10'.
u = -1.6

Simplifying
u = -1.6

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