4(3n+5)=9(6n+7)+4

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Solution for 4(3n+5)=9(6n+7)+4 equation: 


Simplifying
4(3n + 5) = 9(6n + 7) + 4

Reorder the terms:
4(5 + 3n) = 9(6n + 7) + 4
(5 * 4 + 3n * 4) = 9(6n + 7) + 4
(20 + 12n) = 9(6n + 7) + 4

Reorder the terms:
20 + 12n = 9(7 + 6n) + 4
20 + 12n = (7 * 9 + 6n * 9) + 4
20 + 12n = (63 + 54n) + 4

Reorder the terms:
20 + 12n = 63 + 4 + 54n

Combine like terms: 63 + 4 = 67
20 + 12n = 67 + 54n

Solving
20 + 12n = 67 + 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 + 12n + -54n = 67 + 54n + -54n

Combine like terms: 12n + -54n = -42n
20 + -42n = 67 + 54n + -54n

Combine like terms: 54n + -54n = 0
20 + -42n = 67 + 0
20 + -42n = 67

Add '-20' to each side of the equation.
20 + -20 + -42n = 67 + -20

Combine like terms: 20 + -20 = 0
0 + -42n = 67 + -20
-42n = 67 + -20

Combine like terms: 67 + -20 = 47
-42n = 47

Divide each side by '-42'.
n = -1.119047619

Simplifying
n = -1.119047619

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