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

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


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

Reorder the terms:
8(5 + 3n) = 6(6n + 2) + 7
(5 * 8 + 3n * 8) = 6(6n + 2) + 7
(40 + 24n) = 6(6n + 2) + 7

Reorder the terms:
40 + 24n = 6(2 + 6n) + 7
40 + 24n = (2 * 6 + 6n * 6) + 7
40 + 24n = (12 + 36n) + 7

Reorder the terms:
40 + 24n = 12 + 7 + 36n

Combine like terms: 12 + 7 = 19
40 + 24n = 19 + 36n

Solving
40 + 24n = 19 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
40 + 24n + -36n = 19 + 36n + -36n

Combine like terms: 24n + -36n = -12n
40 + -12n = 19 + 36n + -36n

Combine like terms: 36n + -36n = 0
40 + -12n = 19 + 0
40 + -12n = 19

Add '-40' to each side of the equation.
40 + -40 + -12n = 19 + -40

Combine like terms: 40 + -40 = 0
0 + -12n = 19 + -40
-12n = 19 + -40

Combine like terms: 19 + -40 = -21
-12n = -21

Divide each side by '-12'.
n = 1.75

Simplifying
n = 1.75

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