33=5u+3(u-5)

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Solution for 33=5u+3(u-5) equation: 


Simplifying
33 = 5u + 3(u + -5)

Reorder the terms:
33 = 5u + 3(-5 + u)
33 = 5u + (-5 * 3 + u * 3)
33 = 5u + (-15 + 3u)

Reorder the terms:
33 = -15 + 5u + 3u

Combine like terms: 5u + 3u = 8u
33 = -15 + 8u

Solving
33 = -15 + 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.
33 + -8u = -15 + 8u + -8u

Combine like terms: 8u + -8u = 0
33 + -8u = -15 + 0
33 + -8u = -15

Add '-33' to each side of the equation.
33 + -33 + -8u = -15 + -33

Combine like terms: 33 + -33 = 0
0 + -8u = -15 + -33
-8u = -15 + -33

Combine like terms: -15 + -33 = -48
-8u = -48

Divide each side by '-8'.
u = 6

Simplifying
u = 6

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