10u+7=8(2u-u)-9

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Solution for 10u+7=8(2u-u)-9 equation:


Simplifying
10u + 7 = 8(2u + -1u) + -9

Reorder the terms:
7 + 10u = 8(2u + -1u) + -9

Combine like terms: 2u + -1u = 1u
7 + 10u = 8(1u) + -9

Remove parenthesis around (1u)
7 + 10u = 8 * 1u + -9

Multiply 8 * 1
7 + 10u = 8u + -9

Reorder the terms:
7 + 10u = -9 + 8u

Solving
7 + 10u = -9 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
7 + 10u + -8u = -9 + 8u + -8u

Combine like terms: 10u + -8u = 2u
7 + 2u = -9 + 8u + -8u

Combine like terms: 8u + -8u = 0
7 + 2u = -9 + 0
7 + 2u = -9

Add '-7' to each side of the equation.
7 + -7 + 2u = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 2u = -9 + -7
2u = -9 + -7

Combine like terms: -9 + -7 = -16
2u = -16

Divide each side by '2'.
u = -8

Simplifying
u = -8

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