2(n+3)+4(8+6)=13n

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Solution for 2(n+3)+4(8+6)=13n equation:


Simplifying
2(n + 3) + 4(8 + 6) = 13n

Reorder the terms:
2(3 + n) + 4(8 + 6) = 13n
(3 * 2 + n * 2) + 4(8 + 6) = 13n
(6 + 2n) + 4(8 + 6) = 13n

Combine like terms: 8 + 6 = 14
6 + 2n + 4(14) = 13n

Multiply 4 * 14
6 + 2n + 56 = 13n

Reorder the terms:
6 + 56 + 2n = 13n

Combine like terms: 6 + 56 = 62
62 + 2n = 13n

Solving
62 + 2n = 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.
62 + 2n + -13n = 13n + -13n

Combine like terms: 2n + -13n = -11n
62 + -11n = 13n + -13n

Combine like terms: 13n + -13n = 0
62 + -11n = 0

Add '-62' to each side of the equation.
62 + -62 + -11n = 0 + -62

Combine like terms: 62 + -62 = 0
0 + -11n = 0 + -62
-11n = 0 + -62

Combine like terms: 0 + -62 = -62
-11n = -62

Divide each side by '-11'.
n = 5.636363636

Simplifying
n = 5.636363636

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