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

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


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

Reorder the terms:
5(4 + 3n) = 7(7n + 5) + 9
(4 * 5 + 3n * 5) = 7(7n + 5) + 9
(20 + 15n) = 7(7n + 5) + 9

Reorder the terms:
20 + 15n = 7(5 + 7n) + 9
20 + 15n = (5 * 7 + 7n * 7) + 9
20 + 15n = (35 + 49n) + 9

Reorder the terms:
20 + 15n = 35 + 9 + 49n

Combine like terms: 35 + 9 = 44
20 + 15n = 44 + 49n

Solving
20 + 15n = 44 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
20 + 15n + -49n = 44 + 49n + -49n

Combine like terms: 15n + -49n = -34n
20 + -34n = 44 + 49n + -49n

Combine like terms: 49n + -49n = 0
20 + -34n = 44 + 0
20 + -34n = 44

Add '-20' to each side of the equation.
20 + -20 + -34n = 44 + -20

Combine like terms: 20 + -20 = 0
0 + -34n = 44 + -20
-34n = 44 + -20

Combine like terms: 44 + -20 = 24
-34n = 24

Divide each side by '-34'.
n = -0.7058823529

Simplifying
n = -0.7058823529

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