-3(4u-9)+6u=4(u+8)

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Solution for -3(4u-9)+6u=4(u+8) equation:


Simplifying
-3(4u + -9) + 6u = 4(u + 8)

Reorder the terms:
-3(-9 + 4u) + 6u = 4(u + 8)
(-9 * -3 + 4u * -3) + 6u = 4(u + 8)
(27 + -12u) + 6u = 4(u + 8)

Combine like terms: -12u + 6u = -6u
27 + -6u = 4(u + 8)

Reorder the terms:
27 + -6u = 4(8 + u)
27 + -6u = (8 * 4 + u * 4)
27 + -6u = (32 + 4u)

Solving
27 + -6u = 32 + 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.
27 + -6u + -4u = 32 + 4u + -4u

Combine like terms: -6u + -4u = -10u
27 + -10u = 32 + 4u + -4u

Combine like terms: 4u + -4u = 0
27 + -10u = 32 + 0
27 + -10u = 32

Add '-27' to each side of the equation.
27 + -27 + -10u = 32 + -27

Combine like terms: 27 + -27 = 0
0 + -10u = 32 + -27
-10u = 32 + -27

Combine like terms: 32 + -27 = 5
-10u = 5

Divide each side by '-10'.
u = -0.5

Simplifying
u = -0.5

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