5(2n+3)=6(7n+4)+9

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Solution for 5(2n+3)=6(7n+4)+9 equation: 


Simplifying
5(2n + 3) = 6(7n + 4) + 9

Reorder the terms:
5(3 + 2n) = 6(7n + 4) + 9
(3 * 5 + 2n * 5) = 6(7n + 4) + 9
(15 + 10n) = 6(7n + 4) + 9

Reorder the terms:
15 + 10n = 6(4 + 7n) + 9
15 + 10n = (4 * 6 + 7n * 6) + 9
15 + 10n = (24 + 42n) + 9

Reorder the terms:
15 + 10n = 24 + 9 + 42n

Combine like terms: 24 + 9 = 33
15 + 10n = 33 + 42n

Solving
15 + 10n = 33 + 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.
15 + 10n + -42n = 33 + 42n + -42n

Combine like terms: 10n + -42n = -32n
15 + -32n = 33 + 42n + -42n

Combine like terms: 42n + -42n = 0
15 + -32n = 33 + 0
15 + -32n = 33

Add '-15' to each side of the equation.
15 + -15 + -32n = 33 + -15

Combine like terms: 15 + -15 = 0
0 + -32n = 33 + -15
-32n = 33 + -15

Combine like terms: 33 + -15 = 18
-32n = 18

Divide each side by '-32'.
n = -0.5625

Simplifying
n = -0.5625

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