8(u+7)-6=u-13

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Solution for 8(u+7)-6=u-13 equation:


Simplifying
8(u + 7) + -6 = u + -13

Reorder the terms:
8(7 + u) + -6 = u + -13
(7 * 8 + u * 8) + -6 = u + -13
(56 + 8u) + -6 = u + -13

Reorder the terms:
56 + -6 + 8u = u + -13

Combine like terms: 56 + -6 = 50
50 + 8u = u + -13

Reorder the terms:
50 + 8u = -13 + u

Solving
50 + 8u = -13 + u

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
50 + 8u + -1u = -13 + u + -1u

Combine like terms: 8u + -1u = 7u
50 + 7u = -13 + u + -1u

Combine like terms: u + -1u = 0
50 + 7u = -13 + 0
50 + 7u = -13

Add '-50' to each side of the equation.
50 + -50 + 7u = -13 + -50

Combine like terms: 50 + -50 = 0
0 + 7u = -13 + -50
7u = -13 + -50

Combine like terms: -13 + -50 = -63
7u = -63

Divide each side by '7'.
u = -9

Simplifying
u = -9

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