3(3n+9)=7n-3

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Solution for 3(3n+9)=7n-3 equation:


Simplifying
3(3n + 9) = 7n + -3

Reorder the terms:
3(9 + 3n) = 7n + -3
(9 * 3 + 3n * 3) = 7n + -3
(27 + 9n) = 7n + -3

Reorder the terms:
27 + 9n = -3 + 7n

Solving
27 + 9n = -3 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
27 + 9n + -7n = -3 + 7n + -7n

Combine like terms: 9n + -7n = 2n
27 + 2n = -3 + 7n + -7n

Combine like terms: 7n + -7n = 0
27 + 2n = -3 + 0
27 + 2n = -3

Add '-27' to each side of the equation.
27 + -27 + 2n = -3 + -27

Combine like terms: 27 + -27 = 0
0 + 2n = -3 + -27
2n = -3 + -27

Combine like terms: -3 + -27 = -30
2n = -30

Divide each side by '2'.
n = -15

Simplifying
n = -15

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