3u+27=7(u+9)

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Solution for 3u+27=7(u+9) equation:


Simplifying
3u + 27 = 7(u + 9)

Reorder the terms:
27 + 3u = 7(u + 9)

Reorder the terms:
27 + 3u = 7(9 + u)
27 + 3u = (9 * 7 + u * 7)
27 + 3u = (63 + 7u)

Solving
27 + 3u = 63 + 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.
27 + 3u + -7u = 63 + 7u + -7u

Combine like terms: 3u + -7u = -4u
27 + -4u = 63 + 7u + -7u

Combine like terms: 7u + -7u = 0
27 + -4u = 63 + 0
27 + -4u = 63

Add '-27' to each side of the equation.
27 + -27 + -4u = 63 + -27

Combine like terms: 27 + -27 = 0
0 + -4u = 63 + -27
-4u = 63 + -27

Combine like terms: 63 + -27 = 36
-4u = 36

Divide each side by '-4'.
u = -9

Simplifying
u = -9

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