8u-33=-7(u-6)

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Solution for 8u-33=-7(u-6) equation:


Simplifying
8u + -33 = -7(u + -6)

Reorder the terms:
-33 + 8u = -7(u + -6)

Reorder the terms:
-33 + 8u = -7(-6 + u)
-33 + 8u = (-6 * -7 + u * -7)
-33 + 8u = (42 + -7u)

Solving
-33 + 8u = 42 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
-33 + 8u + 7u = 42 + -7u + 7u

Combine like terms: 8u + 7u = 15u
-33 + 15u = 42 + -7u + 7u

Combine like terms: -7u + 7u = 0
-33 + 15u = 42 + 0
-33 + 15u = 42

Add '33' to each side of the equation.
-33 + 33 + 15u = 42 + 33

Combine like terms: -33 + 33 = 0
0 + 15u = 42 + 33
15u = 42 + 33

Combine like terms: 42 + 33 = 75
15u = 75

Divide each side by '15'.
u = 5

Simplifying
u = 5

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