4u-3(u-7)=3(u+11)+3(u+9)-2u

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Solution for 4u-3(u-7)=3(u+11)+3(u+9)-2u equation: 


Simplifying
4u + -3(u + -7) = 3(u + 11) + 3(u + 9) + -2u

Reorder the terms:
4u + -3(-7 + u) = 3(u + 11) + 3(u + 9) + -2u
4u + (-7 * -3 + u * -3) = 3(u + 11) + 3(u + 9) + -2u
4u + (21 + -3u) = 3(u + 11) + 3(u + 9) + -2u

Reorder the terms:
21 + 4u + -3u = 3(u + 11) + 3(u + 9) + -2u

Combine like terms: 4u + -3u = 1u
21 + 1u = 3(u + 11) + 3(u + 9) + -2u

Reorder the terms:
21 + 1u = 3(11 + u) + 3(u + 9) + -2u
21 + 1u = (11 * 3 + u * 3) + 3(u + 9) + -2u
21 + 1u = (33 + 3u) + 3(u + 9) + -2u

Reorder the terms:
21 + 1u = 33 + 3u + 3(9 + u) + -2u
21 + 1u = 33 + 3u + (9 * 3 + u * 3) + -2u
21 + 1u = 33 + 3u + (27 + 3u) + -2u

Reorder the terms:
21 + 1u = 33 + 27 + 3u + 3u + -2u

Combine like terms: 33 + 27 = 60
21 + 1u = 60 + 3u + 3u + -2u

Combine like terms: 3u + 3u = 6u
21 + 1u = 60 + 6u + -2u

Combine like terms: 6u + -2u = 4u
21 + 1u = 60 + 4u

Solving
21 + 1u = 60 + 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.
21 + 1u + -4u = 60 + 4u + -4u

Combine like terms: 1u + -4u = -3u
21 + -3u = 60 + 4u + -4u

Combine like terms: 4u + -4u = 0
21 + -3u = 60 + 0
21 + -3u = 60

Add '-21' to each side of the equation.
21 + -21 + -3u = 60 + -21

Combine like terms: 21 + -21 = 0
0 + -3u = 60 + -21
-3u = 60 + -21

Combine like terms: 60 + -21 = 39
-3u = 39

Divide each side by '-3'.
u = -13

Simplifying
u = -13

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