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

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


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

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

Reorder the terms:
-6 + 2u = 4u + 3 + -2(-3 + -8u)
-6 + 2u = 4u + 3 + (-3 * -2 + -8u * -2)
-6 + 2u = 4u + 3 + (6 + 16u)

Reorder the terms:
-6 + 2u = 3 + 6 + 4u + 16u

Combine like terms: 3 + 6 = 9
-6 + 2u = 9 + 4u + 16u

Combine like terms: 4u + 16u = 20u
-6 + 2u = 9 + 20u

Solving
-6 + 2u = 9 + 20u

Solving for variable 'u'.

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

Add '-20u' to each side of the equation.
-6 + 2u + -20u = 9 + 20u + -20u

Combine like terms: 2u + -20u = -18u
-6 + -18u = 9 + 20u + -20u

Combine like terms: 20u + -20u = 0
-6 + -18u = 9 + 0
-6 + -18u = 9

Add '6' to each side of the equation.
-6 + 6 + -18u = 9 + 6

Combine like terms: -6 + 6 = 0
0 + -18u = 9 + 6
-18u = 9 + 6

Combine like terms: 9 + 6 = 15
-18u = 15

Divide each side by '-18'.
u = -0.8333333333

Simplifying
u = -0.8333333333

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