6(u-3)-4=-4(-5u+2)-2u

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Solution for 6(u-3)-4=-4(-5u+2)-2u equation:


Simplifying
6(u + -3) + -4 = -4(-5u + 2) + -2u

Reorder the terms:
6(-3 + u) + -4 = -4(-5u + 2) + -2u
(-3 * 6 + u * 6) + -4 = -4(-5u + 2) + -2u
(-18 + 6u) + -4 = -4(-5u + 2) + -2u

Reorder the terms:
-18 + -4 + 6u = -4(-5u + 2) + -2u

Combine like terms: -18 + -4 = -22
-22 + 6u = -4(-5u + 2) + -2u

Reorder the terms:
-22 + 6u = -4(2 + -5u) + -2u
-22 + 6u = (2 * -4 + -5u * -4) + -2u
-22 + 6u = (-8 + 20u) + -2u

Combine like terms: 20u + -2u = 18u
-22 + 6u = -8 + 18u

Solving
-22 + 6u = -8 + 18u

Solving for variable 'u'.

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

Add '-18u' to each side of the equation.
-22 + 6u + -18u = -8 + 18u + -18u

Combine like terms: 6u + -18u = -12u
-22 + -12u = -8 + 18u + -18u

Combine like terms: 18u + -18u = 0
-22 + -12u = -8 + 0
-22 + -12u = -8

Add '22' to each side of the equation.
-22 + 22 + -12u = -8 + 22

Combine like terms: -22 + 22 = 0
0 + -12u = -8 + 22
-12u = -8 + 22

Combine like terms: -8 + 22 = 14
-12u = 14

Divide each side by '-12'.
u = -1.166666667

Simplifying
u = -1.166666667

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