4u+1=3u-6

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Solution for 4u+1=3u-6 equation:


Simplifying
4u + 1 = 3u + -6

Reorder the terms:
1 + 4u = 3u + -6

Reorder the terms:
1 + 4u = -6 + 3u

Solving
1 + 4u = -6 + 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.
1 + 4u + -3u = -6 + 3u + -3u

Combine like terms: 4u + -3u = 1u
1 + 1u = -6 + 3u + -3u

Combine like terms: 3u + -3u = 0
1 + 1u = -6 + 0
1 + 1u = -6

Add '-1' to each side of the equation.
1 + -1 + 1u = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 1u = -6 + -1
1u = -6 + -1

Combine like terms: -6 + -1 = -7
1u = -7

Divide each side by '1'.
u = -7

Simplifying
u = -7

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