-4(u-6)=-9u-16

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Solution for -4(u-6)=-9u-16 equation:


Simplifying
-4(u + -6) = -9u + -16

Reorder the terms:
-4(-6 + u) = -9u + -16
(-6 * -4 + u * -4) = -9u + -16
(24 + -4u) = -9u + -16

Reorder the terms:
24 + -4u = -16 + -9u

Solving
24 + -4u = -16 + -9u

Solving for variable 'u'.

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

Add '9u' to each side of the equation.
24 + -4u + 9u = -16 + -9u + 9u

Combine like terms: -4u + 9u = 5u
24 + 5u = -16 + -9u + 9u

Combine like terms: -9u + 9u = 0
24 + 5u = -16 + 0
24 + 5u = -16

Add '-24' to each side of the equation.
24 + -24 + 5u = -16 + -24

Combine like terms: 24 + -24 = 0
0 + 5u = -16 + -24
5u = -16 + -24

Combine like terms: -16 + -24 = -40
5u = -40

Divide each side by '5'.
u = -8

Simplifying
u = -8

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