2(3u+7)=-4(3-2u)

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Solution for 2(3u+7)=-4(3-2u) equation:


Simplifying
2(3u + 7) = -4(3 + -2u)

Reorder the terms:
2(7 + 3u) = -4(3 + -2u)
(7 * 2 + 3u * 2) = -4(3 + -2u)
(14 + 6u) = -4(3 + -2u)
14 + 6u = (3 * -4 + -2u * -4)
14 + 6u = (-12 + 8u)

Solving
14 + 6u = -12 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
14 + 6u + -8u = -12 + 8u + -8u

Combine like terms: 6u + -8u = -2u
14 + -2u = -12 + 8u + -8u

Combine like terms: 8u + -8u = 0
14 + -2u = -12 + 0
14 + -2u = -12

Add '-14' to each side of the equation.
14 + -14 + -2u = -12 + -14

Combine like terms: 14 + -14 = 0
0 + -2u = -12 + -14
-2u = -12 + -14

Combine like terms: -12 + -14 = -26
-2u = -26

Divide each side by '-2'.
u = 13

Simplifying
u = 13

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