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

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


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

Reorder the terms:
9(5 + 2n) = 7(7n + 3) + 4
(5 * 9 + 2n * 9) = 7(7n + 3) + 4
(45 + 18n) = 7(7n + 3) + 4

Reorder the terms:
45 + 18n = 7(3 + 7n) + 4
45 + 18n = (3 * 7 + 7n * 7) + 4
45 + 18n = (21 + 49n) + 4

Reorder the terms:
45 + 18n = 21 + 4 + 49n

Combine like terms: 21 + 4 = 25
45 + 18n = 25 + 49n

Solving
45 + 18n = 25 + 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.
45 + 18n + -49n = 25 + 49n + -49n

Combine like terms: 18n + -49n = -31n
45 + -31n = 25 + 49n + -49n

Combine like terms: 49n + -49n = 0
45 + -31n = 25 + 0
45 + -31n = 25

Add '-45' to each side of the equation.
45 + -45 + -31n = 25 + -45

Combine like terms: 45 + -45 = 0
0 + -31n = 25 + -45
-31n = 25 + -45

Combine like terms: 25 + -45 = -20
-31n = -20

Divide each side by '-31'.
n = 0.6451612903

Simplifying
n = 0.6451612903

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