8+2(6u-1)=-4(3u-5)+6u

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Solution for 8+2(6u-1)=-4(3u-5)+6u equation:


Simplifying
8 + 2(6u + -1) = -4(3u + -5) + 6u

Reorder the terms:
8 + 2(-1 + 6u) = -4(3u + -5) + 6u
8 + (-1 * 2 + 6u * 2) = -4(3u + -5) + 6u
8 + (-2 + 12u) = -4(3u + -5) + 6u

Combine like terms: 8 + -2 = 6
6 + 12u = -4(3u + -5) + 6u

Reorder the terms:
6 + 12u = -4(-5 + 3u) + 6u
6 + 12u = (-5 * -4 + 3u * -4) + 6u
6 + 12u = (20 + -12u) + 6u

Combine like terms: -12u + 6u = -6u
6 + 12u = 20 + -6u

Solving
6 + 12u = 20 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
6 + 12u + 6u = 20 + -6u + 6u

Combine like terms: 12u + 6u = 18u
6 + 18u = 20 + -6u + 6u

Combine like terms: -6u + 6u = 0
6 + 18u = 20 + 0
6 + 18u = 20

Add '-6' to each side of the equation.
6 + -6 + 18u = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 18u = 20 + -6
18u = 20 + -6

Combine like terms: 20 + -6 = 14
18u = 14

Divide each side by '18'.
u = 0.7777777778

Simplifying
u = 0.7777777778

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