9(n+3)=4n-3

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Solution for 9(n+3)=4n-3 equation:


Simplifying
9(n + 3) = 4n + -3

Reorder the terms:
9(3 + n) = 4n + -3
(3 * 9 + n * 9) = 4n + -3
(27 + 9n) = 4n + -3

Reorder the terms:
27 + 9n = -3 + 4n

Solving
27 + 9n = -3 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
27 + 9n + -4n = -3 + 4n + -4n

Combine like terms: 9n + -4n = 5n
27 + 5n = -3 + 4n + -4n

Combine like terms: 4n + -4n = 0
27 + 5n = -3 + 0
27 + 5n = -3

Add '-27' to each side of the equation.
27 + -27 + 5n = -3 + -27

Combine like terms: 27 + -27 = 0
0 + 5n = -3 + -27
5n = -3 + -27

Combine like terms: -3 + -27 = -30
5n = -30

Divide each side by '5'.
n = -6

Simplifying
n = -6

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