4(n+2)+12=3(n+9)

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Solution for 4(n+2)+12=3(n+9) equation:


Simplifying
4(n + 2) + 12 = 3(n + 9)

Reorder the terms:
4(2 + n) + 12 = 3(n + 9)
(2 * 4 + n * 4) + 12 = 3(n + 9)
(8 + 4n) + 12 = 3(n + 9)

Reorder the terms:
8 + 12 + 4n = 3(n + 9)

Combine like terms: 8 + 12 = 20
20 + 4n = 3(n + 9)

Reorder the terms:
20 + 4n = 3(9 + n)
20 + 4n = (9 * 3 + n * 3)
20 + 4n = (27 + 3n)

Solving
20 + 4n = 27 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
20 + 4n + -3n = 27 + 3n + -3n

Combine like terms: 4n + -3n = 1n
20 + 1n = 27 + 3n + -3n

Combine like terms: 3n + -3n = 0
20 + 1n = 27 + 0
20 + 1n = 27

Add '-20' to each side of the equation.
20 + -20 + 1n = 27 + -20

Combine like terms: 20 + -20 = 0
0 + 1n = 27 + -20
1n = 27 + -20

Combine like terms: 27 + -20 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7

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