8(2n+5)=9(7n+2)+6

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Solution for 8(2n+5)=9(7n+2)+6 equation: 


Simplifying
8(2n + 5) = 9(7n + 2) + 6

Reorder the terms:
8(5 + 2n) = 9(7n + 2) + 6
(5 * 8 + 2n * 8) = 9(7n + 2) + 6
(40 + 16n) = 9(7n + 2) + 6

Reorder the terms:
40 + 16n = 9(2 + 7n) + 6
40 + 16n = (2 * 9 + 7n * 9) + 6
40 + 16n = (18 + 63n) + 6

Reorder the terms:
40 + 16n = 18 + 6 + 63n

Combine like terms: 18 + 6 = 24
40 + 16n = 24 + 63n

Solving
40 + 16n = 24 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
40 + 16n + -63n = 24 + 63n + -63n

Combine like terms: 16n + -63n = -47n
40 + -47n = 24 + 63n + -63n

Combine like terms: 63n + -63n = 0
40 + -47n = 24 + 0
40 + -47n = 24

Add '-40' to each side of the equation.
40 + -40 + -47n = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -47n = 24 + -40
-47n = 24 + -40

Combine like terms: 24 + -40 = -16
-47n = -16

Divide each side by '-47'.
n = 0.3404255319

Simplifying
n = 0.3404255319

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