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

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


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

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

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

Combine like terms: 3 + 3 = 6
6 + 2u + -18u = 4(u + -2)

Combine like terms: 2u + -18u = -16u
6 + -16u = 4(u + -2)

Reorder the terms:
6 + -16u = 4(-2 + u)
6 + -16u = (-2 * 4 + u * 4)
6 + -16u = (-8 + 4u)

Solving
6 + -16u = -8 + 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.
6 + -16u + -4u = -8 + 4u + -4u

Combine like terms: -16u + -4u = -20u
6 + -20u = -8 + 4u + -4u

Combine like terms: 4u + -4u = 0
6 + -20u = -8 + 0
6 + -20u = -8

Add '-6' to each side of the equation.
6 + -6 + -20u = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -20u = -8 + -6
-20u = -8 + -6

Combine like terms: -8 + -6 = -14
-20u = -14

Divide each side by '-20'.
u = 0.7

Simplifying
u = 0.7

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