4(3n+5)=8(8n+7)+9

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Solution for 4(3n+5)=8(8n+7)+9 equation: 


Simplifying
4(3n + 5) = 8(8n + 7) + 9

Reorder the terms:
4(5 + 3n) = 8(8n + 7) + 9
(5 * 4 + 3n * 4) = 8(8n + 7) + 9
(20 + 12n) = 8(8n + 7) + 9

Reorder the terms:
20 + 12n = 8(7 + 8n) + 9
20 + 12n = (7 * 8 + 8n * 8) + 9
20 + 12n = (56 + 64n) + 9

Reorder the terms:
20 + 12n = 56 + 9 + 64n

Combine like terms: 56 + 9 = 65
20 + 12n = 65 + 64n

Solving
20 + 12n = 65 + 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.
20 + 12n + -64n = 65 + 64n + -64n

Combine like terms: 12n + -64n = -52n
20 + -52n = 65 + 64n + -64n

Combine like terms: 64n + -64n = 0
20 + -52n = 65 + 0
20 + -52n = 65

Add '-20' to each side of the equation.
20 + -20 + -52n = 65 + -20

Combine like terms: 20 + -20 = 0
0 + -52n = 65 + -20
-52n = 65 + -20

Combine like terms: 65 + -20 = 45
-52n = 45

Divide each side by '-52'.
n = -0.8653846154

Simplifying
n = -0.8653846154

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