5(2n+4)=9(6n+9)+6

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Solution for 5(2n+4)=9(6n+9)+6 equation:


Simplifying
5(2n + 4) = 9(6n + 9) + 6

Reorder the terms:
5(4 + 2n) = 9(6n + 9) + 6
(4 * 5 + 2n * 5) = 9(6n + 9) + 6
(20 + 10n) = 9(6n + 9) + 6

Reorder the terms:
20 + 10n = 9(9 + 6n) + 6
20 + 10n = (9 * 9 + 6n * 9) + 6
20 + 10n = (81 + 54n) + 6

Reorder the terms:
20 + 10n = 81 + 6 + 54n

Combine like terms: 81 + 6 = 87
20 + 10n = 87 + 54n

Solving
20 + 10n = 87 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
20 + 10n + -54n = 87 + 54n + -54n

Combine like terms: 10n + -54n = -44n
20 + -44n = 87 + 54n + -54n

Combine like terms: 54n + -54n = 0
20 + -44n = 87 + 0
20 + -44n = 87

Add '-20' to each side of the equation.
20 + -20 + -44n = 87 + -20

Combine like terms: 20 + -20 = 0
0 + -44n = 87 + -20
-44n = 87 + -20

Combine like terms: 87 + -20 = 67
-44n = 67

Divide each side by '-44'.
n = -1.522727273

Simplifying
n = -1.522727273

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