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

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


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

Reorder the terms:
6 + 2(-2 + 5u) = -3(2u + -3) + 2u
6 + (-2 * 2 + 5u * 2) = -3(2u + -3) + 2u
6 + (-4 + 10u) = -3(2u + -3) + 2u

Combine like terms: 6 + -4 = 2
2 + 10u = -3(2u + -3) + 2u

Reorder the terms:
2 + 10u = -3(-3 + 2u) + 2u
2 + 10u = (-3 * -3 + 2u * -3) + 2u
2 + 10u = (9 + -6u) + 2u

Combine like terms: -6u + 2u = -4u
2 + 10u = 9 + -4u

Solving
2 + 10u = 9 + -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.
2 + 10u + 4u = 9 + -4u + 4u

Combine like terms: 10u + 4u = 14u
2 + 14u = 9 + -4u + 4u

Combine like terms: -4u + 4u = 0
2 + 14u = 9 + 0
2 + 14u = 9

Add '-2' to each side of the equation.
2 + -2 + 14u = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 14u = 9 + -2
14u = 9 + -2

Combine like terms: 9 + -2 = 7
14u = 7

Divide each side by '14'.
u = 0.5

Simplifying
u = 0.5

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