-5(-3u+7)-3u=6(u-6)-7

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Solution for -5(-3u+7)-3u=6(u-6)-7 equation:


Simplifying
-5(-3u + 7) + -3u = 6(u + -6) + -7

Reorder the terms:
-5(7 + -3u) + -3u = 6(u + -6) + -7
(7 * -5 + -3u * -5) + -3u = 6(u + -6) + -7
(-35 + 15u) + -3u = 6(u + -6) + -7

Combine like terms: 15u + -3u = 12u
-35 + 12u = 6(u + -6) + -7

Reorder the terms:
-35 + 12u = 6(-6 + u) + -7
-35 + 12u = (-6 * 6 + u * 6) + -7
-35 + 12u = (-36 + 6u) + -7

Reorder the terms:
-35 + 12u = -36 + -7 + 6u

Combine like terms: -36 + -7 = -43
-35 + 12u = -43 + 6u

Solving
-35 + 12u = -43 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
-35 + 12u + -6u = -43 + 6u + -6u

Combine like terms: 12u + -6u = 6u
-35 + 6u = -43 + 6u + -6u

Combine like terms: 6u + -6u = 0
-35 + 6u = -43 + 0
-35 + 6u = -43

Add '35' to each side of the equation.
-35 + 35 + 6u = -43 + 35

Combine like terms: -35 + 35 = 0
0 + 6u = -43 + 35
6u = -43 + 35

Combine like terms: -43 + 35 = -8
6u = -8

Divide each side by '6'.
u = -1.333333333

Simplifying
u = -1.333333333

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