3(u-9)-6=-5(-3u+3)-40

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Solution for 3(u-9)-6=-5(-3u+3)-40 equation:


Simplifying
3(u + -9) + -6 = -5(-3u + 3) + -40

Reorder the terms:
3(-9 + u) + -6 = -5(-3u + 3) + -40
(-9 * 3 + u * 3) + -6 = -5(-3u + 3) + -40
(-27 + 3u) + -6 = -5(-3u + 3) + -40

Reorder the terms:
-27 + -6 + 3u = -5(-3u + 3) + -40

Combine like terms: -27 + -6 = -33
-33 + 3u = -5(-3u + 3) + -40

Reorder the terms:
-33 + 3u = -5(3 + -3u) + -40
-33 + 3u = (3 * -5 + -3u * -5) + -40
-33 + 3u = (-15 + 15u) + -40

Reorder the terms:
-33 + 3u = -15 + -40 + 15u

Combine like terms: -15 + -40 = -55
-33 + 3u = -55 + 15u

Solving
-33 + 3u = -55 + 15u

Solving for variable 'u'.

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

Add '-15u' to each side of the equation.
-33 + 3u + -15u = -55 + 15u + -15u

Combine like terms: 3u + -15u = -12u
-33 + -12u = -55 + 15u + -15u

Combine like terms: 15u + -15u = 0
-33 + -12u = -55 + 0
-33 + -12u = -55

Add '33' to each side of the equation.
-33 + 33 + -12u = -55 + 33

Combine like terms: -33 + 33 = 0
0 + -12u = -55 + 33
-12u = -55 + 33

Combine like terms: -55 + 33 = -22
-12u = -22

Divide each side by '-12'.
u = 1.833333333

Simplifying
u = 1.833333333

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