2(u-2)-8=-3(-6u+1)-4u

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Solution for 2(u-2)-8=-3(-6u+1)-4u equation:


Simplifying
2(u + -2) + -8 = -3(-6u + 1) + -4u

Reorder the terms:
2(-2 + u) + -8 = -3(-6u + 1) + -4u
(-2 * 2 + u * 2) + -8 = -3(-6u + 1) + -4u
(-4 + 2u) + -8 = -3(-6u + 1) + -4u

Reorder the terms:
-4 + -8 + 2u = -3(-6u + 1) + -4u

Combine like terms: -4 + -8 = -12
-12 + 2u = -3(-6u + 1) + -4u

Reorder the terms:
-12 + 2u = -3(1 + -6u) + -4u
-12 + 2u = (1 * -3 + -6u * -3) + -4u
-12 + 2u = (-3 + 18u) + -4u

Combine like terms: 18u + -4u = 14u
-12 + 2u = -3 + 14u

Solving
-12 + 2u = -3 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
-12 + 2u + -14u = -3 + 14u + -14u

Combine like terms: 2u + -14u = -12u
-12 + -12u = -3 + 14u + -14u

Combine like terms: 14u + -14u = 0
-12 + -12u = -3 + 0
-12 + -12u = -3

Add '12' to each side of the equation.
-12 + 12 + -12u = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -12u = -3 + 12
-12u = -3 + 12

Combine like terms: -3 + 12 = 9
-12u = 9

Divide each side by '-12'.
u = -0.75

Simplifying
u = -0.75

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