5(2n+3)=8(3n+6)+7

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Solution for 5(2n+3)=8(3n+6)+7 equation: 


Simplifying
5(2n + 3) = 8(3n + 6) + 7

Reorder the terms:
5(3 + 2n) = 8(3n + 6) + 7
(3 * 5 + 2n * 5) = 8(3n + 6) + 7
(15 + 10n) = 8(3n + 6) + 7

Reorder the terms:
15 + 10n = 8(6 + 3n) + 7
15 + 10n = (6 * 8 + 3n * 8) + 7
15 + 10n = (48 + 24n) + 7

Reorder the terms:
15 + 10n = 48 + 7 + 24n

Combine like terms: 48 + 7 = 55
15 + 10n = 55 + 24n

Solving
15 + 10n = 55 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
15 + 10n + -24n = 55 + 24n + -24n

Combine like terms: 10n + -24n = -14n
15 + -14n = 55 + 24n + -24n

Combine like terms: 24n + -24n = 0
15 + -14n = 55 + 0
15 + -14n = 55

Add '-15' to each side of the equation.
15 + -15 + -14n = 55 + -15

Combine like terms: 15 + -15 = 0
0 + -14n = 55 + -15
-14n = 55 + -15

Combine like terms: 55 + -15 = 40
-14n = 40

Divide each side by '-14'.
n = -2.857142857

Simplifying
n = -2.857142857

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