5(3n+1)=8(8n+9)+7

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Solution for 5(3n+1)=8(8n+9)+7 equation:


Simplifying
5(3n + 1) = 8(8n + 9) + 7

Reorder the terms:
5(1 + 3n) = 8(8n + 9) + 7
(1 * 5 + 3n * 5) = 8(8n + 9) + 7
(5 + 15n) = 8(8n + 9) + 7

Reorder the terms:
5 + 15n = 8(9 + 8n) + 7
5 + 15n = (9 * 8 + 8n * 8) + 7
5 + 15n = (72 + 64n) + 7

Reorder the terms:
5 + 15n = 72 + 7 + 64n

Combine like terms: 72 + 7 = 79
5 + 15n = 79 + 64n

Solving
5 + 15n = 79 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
5 + 15n + -64n = 79 + 64n + -64n

Combine like terms: 15n + -64n = -49n
5 + -49n = 79 + 64n + -64n

Combine like terms: 64n + -64n = 0
5 + -49n = 79 + 0
5 + -49n = 79

Add '-5' to each side of the equation.
5 + -5 + -49n = 79 + -5

Combine like terms: 5 + -5 = 0
0 + -49n = 79 + -5
-49n = 79 + -5

Combine like terms: 79 + -5 = 74
-49n = 74

Divide each side by '-49'.
n = -1.510204082

Simplifying
n = -1.510204082

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