6+2(3u-2)=-2(2u-7)+2u

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Solution for 6+2(3u-2)=-2(2u-7)+2u equation:


Simplifying
6 + 2(3u + -2) = -2(2u + -7) + 2u

Reorder the terms:
6 + 2(-2 + 3u) = -2(2u + -7) + 2u
6 + (-2 * 2 + 3u * 2) = -2(2u + -7) + 2u
6 + (-4 + 6u) = -2(2u + -7) + 2u

Combine like terms: 6 + -4 = 2
2 + 6u = -2(2u + -7) + 2u

Reorder the terms:
2 + 6u = -2(-7 + 2u) + 2u
2 + 6u = (-7 * -2 + 2u * -2) + 2u
2 + 6u = (14 + -4u) + 2u

Combine like terms: -4u + 2u = -2u
2 + 6u = 14 + -2u

Solving
2 + 6u = 14 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
2 + 6u + 2u = 14 + -2u + 2u

Combine like terms: 6u + 2u = 8u
2 + 8u = 14 + -2u + 2u

Combine like terms: -2u + 2u = 0
2 + 8u = 14 + 0
2 + 8u = 14

Add '-2' to each side of the equation.
2 + -2 + 8u = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 8u = 14 + -2
8u = 14 + -2

Combine like terms: 14 + -2 = 12
8u = 12

Divide each side by '8'.
u = 1.5

Simplifying
u = 1.5

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