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

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

Multiply 8 * 9
7 + 10u = 72(-4 + 2u)
7 + 10u = (-4 * 72 + 2u * 72)
7 + 10u = (-288 + 144u)

Solving
7 + 10u = -288 + 144u

Solving for variable 'u'.

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

Add '-144u' to each side of the equation.
7 + 10u + -144u = -288 + 144u + -144u

Combine like terms: 10u + -144u = -134u
7 + -134u = -288 + 144u + -144u

Combine like terms: 144u + -144u = 0
7 + -134u = -288 + 0
7 + -134u = -288

Add '-7' to each side of the equation.
7 + -7 + -134u = -288 + -7

Combine like terms: 7 + -7 = 0
0 + -134u = -288 + -7
-134u = -288 + -7

Combine like terms: -288 + -7 = -295
-134u = -295

Divide each side by '-134'.
u = 2.201492537

Simplifying
u = 2.201492537

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