4u-33=-3(u-3)

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Solution for 4u-33=-3(u-3) equation:


Simplifying
4u + -33 = -3(u + -3)

Reorder the terms:
-33 + 4u = -3(u + -3)

Reorder the terms:
-33 + 4u = -3(-3 + u)
-33 + 4u = (-3 * -3 + u * -3)
-33 + 4u = (9 + -3u)

Solving
-33 + 4u = 9 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-33 + 4u + 3u = 9 + -3u + 3u

Combine like terms: 4u + 3u = 7u
-33 + 7u = 9 + -3u + 3u

Combine like terms: -3u + 3u = 0
-33 + 7u = 9 + 0
-33 + 7u = 9

Add '33' to each side of the equation.
-33 + 33 + 7u = 9 + 33

Combine like terms: -33 + 33 = 0
0 + 7u = 9 + 33
7u = 9 + 33

Combine like terms: 9 + 33 = 42
7u = 42

Divide each side by '7'.
u = 6

Simplifying
u = 6

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