4(2n+5)=8(9n+5)+9

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Solution for 4(2n+5)=8(9n+5)+9 equation:


Simplifying
4(2n + 5) = 8(9n + 5) + 9

Reorder the terms:
4(5 + 2n) = 8(9n + 5) + 9
(5 * 4 + 2n * 4) = 8(9n + 5) + 9
(20 + 8n) = 8(9n + 5) + 9

Reorder the terms:
20 + 8n = 8(5 + 9n) + 9
20 + 8n = (5 * 8 + 9n * 8) + 9
20 + 8n = (40 + 72n) + 9

Reorder the terms:
20 + 8n = 40 + 9 + 72n

Combine like terms: 40 + 9 = 49
20 + 8n = 49 + 72n

Solving
20 + 8n = 49 + 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 + 8n + -72n = 49 + 72n + -72n

Combine like terms: 8n + -72n = -64n
20 + -64n = 49 + 72n + -72n

Combine like terms: 72n + -72n = 0
20 + -64n = 49 + 0
20 + -64n = 49

Add '-20' to each side of the equation.
20 + -20 + -64n = 49 + -20

Combine like terms: 20 + -20 = 0
0 + -64n = 49 + -20
-64n = 49 + -20

Combine like terms: 49 + -20 = 29
-64n = 29

Divide each side by '-64'.
n = -0.453125

Simplifying
n = -0.453125

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