6(u-1)=3u+3-3(-5u-3)

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Solution for 6(u-1)=3u+3-3(-5u-3) equation:


Simplifying
6(u + -1) = 3u + 3 + -3(-5u + -3)

Reorder the terms:
6(-1 + u) = 3u + 3 + -3(-5u + -3)
(-1 * 6 + u * 6) = 3u + 3 + -3(-5u + -3)
(-6 + 6u) = 3u + 3 + -3(-5u + -3)

Reorder the terms:
-6 + 6u = 3u + 3 + -3(-3 + -5u)
-6 + 6u = 3u + 3 + (-3 * -3 + -5u * -3)
-6 + 6u = 3u + 3 + (9 + 15u)

Reorder the terms:
-6 + 6u = 3 + 9 + 3u + 15u

Combine like terms: 3 + 9 = 12
-6 + 6u = 12 + 3u + 15u

Combine like terms: 3u + 15u = 18u
-6 + 6u = 12 + 18u

Solving
-6 + 6u = 12 + 18u

Solving for variable 'u'.

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

Add '-18u' to each side of the equation.
-6 + 6u + -18u = 12 + 18u + -18u

Combine like terms: 6u + -18u = -12u
-6 + -12u = 12 + 18u + -18u

Combine like terms: 18u + -18u = 0
-6 + -12u = 12 + 0
-6 + -12u = 12

Add '6' to each side of the equation.
-6 + 6 + -12u = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -12u = 12 + 6
-12u = 12 + 6

Combine like terms: 12 + 6 = 18
-12u = 18

Divide each side by '-12'.
u = -1.5

Simplifying
u = -1.5

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