4(3n+5)=9(8n+4)+6

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Solution for 4(3n+5)=9(8n+4)+6 equation:


Simplifying
4(3n + 5) = 9(8n + 4) + 6

Reorder the terms:
4(5 + 3n) = 9(8n + 4) + 6
(5 * 4 + 3n * 4) = 9(8n + 4) + 6
(20 + 12n) = 9(8n + 4) + 6

Reorder the terms:
20 + 12n = 9(4 + 8n) + 6
20 + 12n = (4 * 9 + 8n * 9) + 6
20 + 12n = (36 + 72n) + 6

Reorder the terms:
20 + 12n = 36 + 6 + 72n

Combine like terms: 36 + 6 = 42
20 + 12n = 42 + 72n

Solving
20 + 12n = 42 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
20 + 12n + -72n = 42 + 72n + -72n

Combine like terms: 12n + -72n = -60n
20 + -60n = 42 + 72n + -72n

Combine like terms: 72n + -72n = 0
20 + -60n = 42 + 0
20 + -60n = 42

Add '-20' to each side of the equation.
20 + -20 + -60n = 42 + -20

Combine like terms: 20 + -20 = 0
0 + -60n = 42 + -20
-60n = 42 + -20

Combine like terms: 42 + -20 = 22
-60n = 22

Divide each side by '-60'.
n = -0.3666666667

Simplifying
n = -0.3666666667

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