10u+7=8(2u-4)-9

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Solution for 10u+7=8(2u-4)-9 equation:


Simplifying
10u + 7 = 8(2u + -4) + -9

Reorder the terms:
7 + 10u = 8(2u + -4) + -9

Reorder the terms:
7 + 10u = 8(-4 + 2u) + -9
7 + 10u = (-4 * 8 + 2u * 8) + -9
7 + 10u = (-32 + 16u) + -9

Reorder the terms:
7 + 10u = -32 + -9 + 16u

Combine like terms: -32 + -9 = -41
7 + 10u = -41 + 16u

Solving
7 + 10u = -41 + 16u

Solving for variable 'u'.

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

Add '-16u' to each side of the equation.
7 + 10u + -16u = -41 + 16u + -16u

Combine like terms: 10u + -16u = -6u
7 + -6u = -41 + 16u + -16u

Combine like terms: 16u + -16u = 0
7 + -6u = -41 + 0
7 + -6u = -41

Add '-7' to each side of the equation.
7 + -7 + -6u = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -6u = -41 + -7
-6u = -41 + -7

Combine like terms: -41 + -7 = -48
-6u = -48

Divide each side by '-6'.
u = 8

Simplifying
u = 8

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