4(8u+8)-u=21(3u-9)+92

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Solution for 4(8u+8)-u=21(3u-9)+92 equation: 


Simplifying
4(8u + 8) + -1u = 21(3u + -9) + 92

Reorder the terms:
4(8 + 8u) + -1u = 21(3u + -9) + 92
(8 * 4 + 8u * 4) + -1u = 21(3u + -9) + 92
(32 + 32u) + -1u = 21(3u + -9) + 92

Combine like terms: 32u + -1u = 31u
32 + 31u = 21(3u + -9) + 92

Reorder the terms:
32 + 31u = 21(-9 + 3u) + 92
32 + 31u = (-9 * 21 + 3u * 21) + 92
32 + 31u = (-189 + 63u) + 92

Reorder the terms:
32 + 31u = -189 + 92 + 63u

Combine like terms: -189 + 92 = -97
32 + 31u = -97 + 63u

Solving
32 + 31u = -97 + 63u

Solving for variable 'u'.

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

Add '-63u' to each side of the equation.
32 + 31u + -63u = -97 + 63u + -63u

Combine like terms: 31u + -63u = -32u
32 + -32u = -97 + 63u + -63u

Combine like terms: 63u + -63u = 0
32 + -32u = -97 + 0
32 + -32u = -97

Add '-32' to each side of the equation.
32 + -32 + -32u = -97 + -32

Combine like terms: 32 + -32 = 0
0 + -32u = -97 + -32
-32u = -97 + -32

Combine like terms: -97 + -32 = -129
-32u = -129

Divide each side by '-32'.
u = 4.03125

Simplifying
u = 4.03125

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