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

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


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

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

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

Reorder the terms:
7 + 10u = -32 + -9 + 8su

Combine like terms: -32 + -9 = -41
7 + 10u = -41 + 8su

Solving
7 + 10u = -41 + 8su

Solving for variable 'u'.

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

Add '-8su' to each side of the equation.
7 + -8su + 10u = -41 + 8su + -8su

Combine like terms: 8su + -8su = 0
7 + -8su + 10u = -41 + 0
7 + -8su + 10u = -41

Add '-7' to each side of the equation.
7 + -8su + -7 + 10u = -41 + -7

Reorder the terms:
7 + -7 + -8su + 10u = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -8su + 10u = -41 + -7
-8su + 10u = -41 + -7

Combine like terms: -41 + -7 = -48
-8su + 10u = -48

Reorder the terms:
48 + -8su + 10u = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -8su + 10u = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -4su + 5u) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(24 + -4su + 5u)' equal to zero and attempt to solve: Simplifying 24 + -4su + 5u = 0 Solving 24 + -4su + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -4su + -24 + 5u = 0 + -24 Reorder the terms: 24 + -24 + -4su + 5u = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4su + 5u = 0 + -24 -4su + 5u = 0 + -24 Combine like terms: 0 + -24 = -24 -4su + 5u = -24 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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