9(3n+1)=8(6n+1)+7

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Solution for 9(3n+1)=8(6n+1)+7 equation:


Simplifying
9(3n + 1) = 8(6n + 1) + 7

Reorder the terms:
9(1 + 3n) = 8(6n + 1) + 7
(1 * 9 + 3n * 9) = 8(6n + 1) + 7
(9 + 27n) = 8(6n + 1) + 7

Reorder the terms:
9 + 27n = 8(1 + 6n) + 7
9 + 27n = (1 * 8 + 6n * 8) + 7
9 + 27n = (8 + 48n) + 7

Reorder the terms:
9 + 27n = 8 + 7 + 48n

Combine like terms: 8 + 7 = 15
9 + 27n = 15 + 48n

Solving
9 + 27n = 15 + 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.
9 + 27n + -48n = 15 + 48n + -48n

Combine like terms: 27n + -48n = -21n
9 + -21n = 15 + 48n + -48n

Combine like terms: 48n + -48n = 0
9 + -21n = 15 + 0
9 + -21n = 15

Add '-9' to each side of the equation.
9 + -9 + -21n = 15 + -9

Combine like terms: 9 + -9 = 0
0 + -21n = 15 + -9
-21n = 15 + -9

Combine like terms: 15 + -9 = 6
-21n = 6

Divide each side by '-21'.
n = -0.2857142857

Simplifying
n = -0.2857142857

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