5(2n+4)+3(n+6)=

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


Simplifying
5(2n + 4) + 3(n + 6) = 0

Reorder the terms:
5(4 + 2n) + 3(n + 6) = 0
(4 * 5 + 2n * 5) + 3(n + 6) = 0
(20 + 10n) + 3(n + 6) = 0

Reorder the terms:
20 + 10n + 3(6 + n) = 0
20 + 10n + (6 * 3 + n * 3) = 0
20 + 10n + (18 + 3n) = 0

Reorder the terms:
20 + 18 + 10n + 3n = 0

Combine like terms: 20 + 18 = 38
38 + 10n + 3n = 0

Combine like terms: 10n + 3n = 13n
38 + 13n = 0

Solving
38 + 13n = 0

Solving for variable 'n'.

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

Add '-38' to each side of the equation.
38 + -38 + 13n = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 13n = 0 + -38
13n = 0 + -38

Combine like terms: 0 + -38 = -38
13n = -38

Divide each side by '13'.
n = -2.923076923

Simplifying
n = -2.923076923

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