-3(-9u+7)-5u=4(u-2)-7

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Solution for -3(-9u+7)-5u=4(u-2)-7 equation:


Simplifying
-3(-9u + 7) + -5u = 4(u + -2) + -7

Reorder the terms:
-3(7 + -9u) + -5u = 4(u + -2) + -7
(7 * -3 + -9u * -3) + -5u = 4(u + -2) + -7
(-21 + 27u) + -5u = 4(u + -2) + -7

Combine like terms: 27u + -5u = 22u
-21 + 22u = 4(u + -2) + -7

Reorder the terms:
-21 + 22u = 4(-2 + u) + -7
-21 + 22u = (-2 * 4 + u * 4) + -7
-21 + 22u = (-8 + 4u) + -7

Reorder the terms:
-21 + 22u = -8 + -7 + 4u

Combine like terms: -8 + -7 = -15
-21 + 22u = -15 + 4u

Solving
-21 + 22u = -15 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
-21 + 22u + -4u = -15 + 4u + -4u

Combine like terms: 22u + -4u = 18u
-21 + 18u = -15 + 4u + -4u

Combine like terms: 4u + -4u = 0
-21 + 18u = -15 + 0
-21 + 18u = -15

Add '21' to each side of the equation.
-21 + 21 + 18u = -15 + 21

Combine like terms: -21 + 21 = 0
0 + 18u = -15 + 21
18u = -15 + 21

Combine like terms: -15 + 21 = 6
18u = 6

Divide each side by '18'.
u = 0.3333333333

Simplifying
u = 0.3333333333

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