2(6+8n)=5(8-3n)+3

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Solution for 2(6+8n)=5(8-3n)+3 equation: 


Simplifying
2(6 + 8n) = 5(8 + -3n) + 3
(6 * 2 + 8n * 2) = 5(8 + -3n) + 3
(12 + 16n) = 5(8 + -3n) + 3
12 + 16n = (8 * 5 + -3n * 5) + 3
12 + 16n = (40 + -15n) + 3

Reorder the terms:
12 + 16n = 40 + 3 + -15n

Combine like terms: 40 + 3 = 43
12 + 16n = 43 + -15n

Solving
12 + 16n = 43 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
12 + 16n + 15n = 43 + -15n + 15n

Combine like terms: 16n + 15n = 31n
12 + 31n = 43 + -15n + 15n

Combine like terms: -15n + 15n = 0
12 + 31n = 43 + 0
12 + 31n = 43

Add '-12' to each side of the equation.
12 + -12 + 31n = 43 + -12

Combine like terms: 12 + -12 = 0
0 + 31n = 43 + -12
31n = 43 + -12

Combine like terms: 43 + -12 = 31
31n = 31

Divide each side by '31'.
n = 1

Simplifying
n = 1

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