6u-16=-8(u-5)

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Solution for 6u-16=-8(u-5) equation:


Simplifying
6u + -16 = -8(u + -5)

Reorder the terms:
-16 + 6u = -8(u + -5)

Reorder the terms:
-16 + 6u = -8(-5 + u)
-16 + 6u = (-5 * -8 + u * -8)
-16 + 6u = (40 + -8u)

Solving
-16 + 6u = 40 + -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 + 6u + 8u = 40 + -8u + 8u

Combine like terms: 6u + 8u = 14u
-16 + 14u = 40 + -8u + 8u

Combine like terms: -8u + 8u = 0
-16 + 14u = 40 + 0
-16 + 14u = 40

Add '16' to each side of the equation.
-16 + 16 + 14u = 40 + 16

Combine like terms: -16 + 16 = 0
0 + 14u = 40 + 16
14u = 40 + 16

Combine like terms: 40 + 16 = 56
14u = 56

Divide each side by '14'.
u = 4

Simplifying
u = 4

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