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

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


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

Reorder the terms:
-1 + 3u = 4(4 + -1u) + -3
-1 + 3u = (4 * 4 + -1u * 4) + -3
-1 + 3u = (16 + -4u) + -3

Reorder the terms:
-1 + 3u = 16 + -3 + -4u

Combine like terms: 16 + -3 = 13
-1 + 3u = 13 + -4u

Solving
-1 + 3u = 13 + -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.
-1 + 3u + 4u = 13 + -4u + 4u

Combine like terms: 3u + 4u = 7u
-1 + 7u = 13 + -4u + 4u

Combine like terms: -4u + 4u = 0
-1 + 7u = 13 + 0
-1 + 7u = 13

Add '1' to each side of the equation.
-1 + 1 + 7u = 13 + 1

Combine like terms: -1 + 1 = 0
0 + 7u = 13 + 1
7u = 13 + 1

Combine like terms: 13 + 1 = 14
7u = 14

Divide each side by '7'.
u = 2

Simplifying
u = 2

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