3u-16=8(u-7)

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Solution for 3u-16=8(u-7) equation:


Simplifying
3u + -16 = 8(u + -7)

Reorder the terms:
-16 + 3u = 8(u + -7)

Reorder the terms:
-16 + 3u = 8(-7 + u)
-16 + 3u = (-7 * 8 + u * 8)
-16 + 3u = (-56 + 8u)

Solving
-16 + 3u = -56 + 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.
-16 + 3u + -8u = -56 + 8u + -8u

Combine like terms: 3u + -8u = -5u
-16 + -5u = -56 + 8u + -8u

Combine like terms: 8u + -8u = 0
-16 + -5u = -56 + 0
-16 + -5u = -56

Add '16' to each side of the equation.
-16 + 16 + -5u = -56 + 16

Combine like terms: -16 + 16 = 0
0 + -5u = -56 + 16
-5u = -56 + 16

Combine like terms: -56 + 16 = -40
-5u = -40

Divide each side by '-5'.
u = 8

Simplifying
u = 8

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