3(u-5)-6u=-33

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Solution for 3(u-5)-6u=-33 equation: 


Simplifying
3(u + -5) + -6u = -33

Reorder the terms:
3(-5 + u) + -6u = -33
(-5 * 3 + u * 3) + -6u = -33
(-15 + 3u) + -6u = -33

Combine like terms: 3u + -6u = -3u
-15 + -3u = -33

Solving
-15 + -3u = -33

Solving for variable 'u'.

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

Add '15' to each side of the equation.
-15 + 15 + -3u = -33 + 15

Combine like terms: -15 + 15 = 0
0 + -3u = -33 + 15
-3u = -33 + 15

Combine like terms: -33 + 15 = -18
-3u = -18

Divide each side by '-3'.
u = 6

Simplifying
u = 6

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