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

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


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

Reorder the terms:
-4(9 + -3u) + -9u = 7(u + -4) + -2
(9 * -4 + -3u * -4) + -9u = 7(u + -4) + -2
(-36 + 12u) + -9u = 7(u + -4) + -2

Combine like terms: 12u + -9u = 3u
-36 + 3u = 7(u + -4) + -2

Reorder the terms:
-36 + 3u = 7(-4 + u) + -2
-36 + 3u = (-4 * 7 + u * 7) + -2
-36 + 3u = (-28 + 7u) + -2

Reorder the terms:
-36 + 3u = -28 + -2 + 7u

Combine like terms: -28 + -2 = -30
-36 + 3u = -30 + 7u

Solving
-36 + 3u = -30 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
-36 + 3u + -7u = -30 + 7u + -7u

Combine like terms: 3u + -7u = -4u
-36 + -4u = -30 + 7u + -7u

Combine like terms: 7u + -7u = 0
-36 + -4u = -30 + 0
-36 + -4u = -30

Add '36' to each side of the equation.
-36 + 36 + -4u = -30 + 36

Combine like terms: -36 + 36 = 0
0 + -4u = -30 + 36
-4u = -30 + 36

Combine like terms: -30 + 36 = 6
-4u = 6

Divide each side by '-4'.
u = -1.5

Simplifying
u = -1.5

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