4u-6=7(u+3)

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Solution for 4u-6=7(u+3) equation:


Simplifying
4u + -6 = 7(u + 3)

Reorder the terms:
-6 + 4u = 7(u + 3)

Reorder the terms:
-6 + 4u = 7(3 + u)
-6 + 4u = (3 * 7 + u * 7)
-6 + 4u = (21 + 7u)

Solving
-6 + 4u = 21 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
-6 + 4u + -7u = 21 + 7u + -7u

Combine like terms: 4u + -7u = -3u
-6 + -3u = 21 + 7u + -7u

Combine like terms: 7u + -7u = 0
-6 + -3u = 21 + 0
-6 + -3u = 21

Add '6' to each side of the equation.
-6 + 6 + -3u = 21 + 6

Combine like terms: -6 + 6 = 0
0 + -3u = 21 + 6
-3u = 21 + 6

Combine like terms: 21 + 6 = 27
-3u = 27

Divide each side by '-3'.
u = -9

Simplifying
u = -9

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