3(u-4)=u+1-3(-4u-1)

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Solution for 3(u-4)=u+1-3(-4u-1) equation:


Simplifying
3(u + -4) = u + 1 + -3(-4u + -1)

Reorder the terms:
3(-4 + u) = u + 1 + -3(-4u + -1)
(-4 * 3 + u * 3) = u + 1 + -3(-4u + -1)
(-12 + 3u) = u + 1 + -3(-4u + -1)

Reorder the terms:
-12 + 3u = u + 1 + -3(-1 + -4u)
-12 + 3u = u + 1 + (-1 * -3 + -4u * -3)
-12 + 3u = u + 1 + (3 + 12u)

Reorder the terms:
-12 + 3u = 1 + 3 + u + 12u

Combine like terms: 1 + 3 = 4
-12 + 3u = 4 + u + 12u

Combine like terms: u + 12u = 13u
-12 + 3u = 4 + 13u

Solving
-12 + 3u = 4 + 13u

Solving for variable 'u'.

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

Add '-13u' to each side of the equation.
-12 + 3u + -13u = 4 + 13u + -13u

Combine like terms: 3u + -13u = -10u
-12 + -10u = 4 + 13u + -13u

Combine like terms: 13u + -13u = 0
-12 + -10u = 4 + 0
-12 + -10u = 4

Add '12' to each side of the equation.
-12 + 12 + -10u = 4 + 12

Combine like terms: -12 + 12 = 0
0 + -10u = 4 + 12
-10u = 4 + 12

Combine like terms: 4 + 12 = 16
-10u = 16

Divide each side by '-10'.
u = -1.6

Simplifying
u = -1.6

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