4(6+5n)+3(1-n)2=27

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Solution for 4(6+5n)+3(1-n)2=27 equation: 


Simplifying
4(6 + 5n) + 3(1 + -1n) * 2 = 27
(6 * 4 + 5n * 4) + 3(1 + -1n) * 2 = 27
(24 + 20n) + 3(1 + -1n) * 2 = 27

Reorder the terms for easier multiplication:
24 + 20n + 3 * 2(1 + -1n) = 27

Multiply 3 * 2
24 + 20n + 6(1 + -1n) = 27
24 + 20n + (1 * 6 + -1n * 6) = 27
24 + 20n + (6 + -6n) = 27

Reorder the terms:
24 + 6 + 20n + -6n = 27

Combine like terms: 24 + 6 = 30
30 + 20n + -6n = 27

Combine like terms: 20n + -6n = 14n
30 + 14n = 27

Solving
30 + 14n = 27

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + 14n = 27 + -30

Combine like terms: 30 + -30 = 0
0 + 14n = 27 + -30
14n = 27 + -30

Combine like terms: 27 + -30 = -3
14n = -3

Divide each side by '14'.
n = -0.2142857143

Simplifying
n = -0.2142857143

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