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

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


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

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

Reorder the terms:
20 + 12n = 7(5 + 6n) + 9
20 + 12n = (5 * 7 + 6n * 7) + 9
20 + 12n = (35 + 42n) + 9

Reorder the terms:
20 + 12n = 35 + 9 + 42n

Combine like terms: 35 + 9 = 44
20 + 12n = 44 + 42n

Solving
20 + 12n = 44 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
20 + 12n + -42n = 44 + 42n + -42n

Combine like terms: 12n + -42n = -30n
20 + -30n = 44 + 42n + -42n

Combine like terms: 42n + -42n = 0
20 + -30n = 44 + 0
20 + -30n = 44

Add '-20' to each side of the equation.
20 + -20 + -30n = 44 + -20

Combine like terms: 20 + -20 = 0
0 + -30n = 44 + -20
-30n = 44 + -20

Combine like terms: 44 + -20 = 24
-30n = 24

Divide each side by '-30'.
n = -0.8

Simplifying
n = -0.8

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