9(4u-1)-12u=11(2u-6)

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Solution for 9(4u-1)-12u=11(2u-6) equation:


Simplifying
9(4u + -1) + -12u = 11(2u + -6)

Reorder the terms:
9(-1 + 4u) + -12u = 11(2u + -6)
(-1 * 9 + 4u * 9) + -12u = 11(2u + -6)
(-9 + 36u) + -12u = 11(2u + -6)

Combine like terms: 36u + -12u = 24u
-9 + 24u = 11(2u + -6)

Reorder the terms:
-9 + 24u = 11(-6 + 2u)
-9 + 24u = (-6 * 11 + 2u * 11)
-9 + 24u = (-66 + 22u)

Solving
-9 + 24u = -66 + 22u

Solving for variable 'u'.

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

Add '-22u' to each side of the equation.
-9 + 24u + -22u = -66 + 22u + -22u

Combine like terms: 24u + -22u = 2u
-9 + 2u = -66 + 22u + -22u

Combine like terms: 22u + -22u = 0
-9 + 2u = -66 + 0
-9 + 2u = -66

Add '9' to each side of the equation.
-9 + 9 + 2u = -66 + 9

Combine like terms: -9 + 9 = 0
0 + 2u = -66 + 9
2u = -66 + 9

Combine like terms: -66 + 9 = -57
2u = -57

Divide each side by '2'.
u = -28.5

Simplifying
u = -28.5

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