3(2n+4)-7(n-6)=13n+54

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Solution for 3(2n+4)-7(n-6)=13n+54 equation:


Simplifying
3(2n + 4) + -7(n + -6) = 13n + 54

Reorder the terms:
3(4 + 2n) + -7(n + -6) = 13n + 54
(4 * 3 + 2n * 3) + -7(n + -6) = 13n + 54
(12 + 6n) + -7(n + -6) = 13n + 54

Reorder the terms:
12 + 6n + -7(-6 + n) = 13n + 54
12 + 6n + (-6 * -7 + n * -7) = 13n + 54
12 + 6n + (42 + -7n) = 13n + 54

Reorder the terms:
12 + 42 + 6n + -7n = 13n + 54

Combine like terms: 12 + 42 = 54
54 + 6n + -7n = 13n + 54

Combine like terms: 6n + -7n = -1n
54 + -1n = 13n + 54

Reorder the terms:
54 + -1n = 54 + 13n

Add '-54' to each side of the equation.
54 + -54 + -1n = 54 + -54 + 13n

Combine like terms: 54 + -54 = 0
0 + -1n = 54 + -54 + 13n
-1n = 54 + -54 + 13n

Combine like terms: 54 + -54 = 0
-1n = 0 + 13n
-1n = 13n

Solving
-1n = 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
-1n + -13n = 13n + -13n

Combine like terms: -1n + -13n = -14n
-14n = 13n + -13n

Combine like terms: 13n + -13n = 0
-14n = 0

Divide each side by '-14'.
n = 0

Simplifying
n = 0

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