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

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


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

Reorder the terms:
3u + -4 + 3(3 + 4u) = -3(u + 3)
3u + -4 + (3 * 3 + 4u * 3) = -3(u + 3)
3u + -4 + (9 + 12u) = -3(u + 3)

Reorder the terms:
-4 + 9 + 3u + 12u = -3(u + 3)

Combine like terms: -4 + 9 = 5
5 + 3u + 12u = -3(u + 3)

Combine like terms: 3u + 12u = 15u
5 + 15u = -3(u + 3)

Reorder the terms:
5 + 15u = -3(3 + u)
5 + 15u = (3 * -3 + u * -3)
5 + 15u = (-9 + -3u)

Solving
5 + 15u = -9 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
5 + 15u + 3u = -9 + -3u + 3u

Combine like terms: 15u + 3u = 18u
5 + 18u = -9 + -3u + 3u

Combine like terms: -3u + 3u = 0
5 + 18u = -9 + 0
5 + 18u = -9

Add '-5' to each side of the equation.
5 + -5 + 18u = -9 + -5

Combine like terms: 5 + -5 = 0
0 + 18u = -9 + -5
18u = -9 + -5

Combine like terms: -9 + -5 = -14
18u = -14

Divide each side by '18'.
u = -0.7777777778

Simplifying
u = -0.7777777778

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