5(4n+3)=6(8n-14)+36

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Solution for 5(4n+3)=6(8n-14)+36 equation: 


Simplifying
5(4n + 3) = 6(8n + -14) + 36

Reorder the terms:
5(3 + 4n) = 6(8n + -14) + 36
(3 * 5 + 4n * 5) = 6(8n + -14) + 36
(15 + 20n) = 6(8n + -14) + 36

Reorder the terms:
15 + 20n = 6(-14 + 8n) + 36
15 + 20n = (-14 * 6 + 8n * 6) + 36
15 + 20n = (-84 + 48n) + 36

Reorder the terms:
15 + 20n = -84 + 36 + 48n

Combine like terms: -84 + 36 = -48
15 + 20n = -48 + 48n

Solving
15 + 20n = -48 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
15 + 20n + -48n = -48 + 48n + -48n

Combine like terms: 20n + -48n = -28n
15 + -28n = -48 + 48n + -48n

Combine like terms: 48n + -48n = 0
15 + -28n = -48 + 0
15 + -28n = -48

Add '-15' to each side of the equation.
15 + -15 + -28n = -48 + -15

Combine like terms: 15 + -15 = 0
0 + -28n = -48 + -15
-28n = -48 + -15

Combine like terms: -48 + -15 = -63
-28n = -63

Divide each side by '-28'.
n = 2.25

Simplifying
n = 2.25

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