5(5n-9)=n+3(18n+5)

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Solution for 5(5n-9)=n+3(18n+5) equation:


Simplifying
5(5n + -9) = n + 3(18n + 5)

Reorder the terms:
5(-9 + 5n) = n + 3(18n + 5)
(-9 * 5 + 5n * 5) = n + 3(18n + 5)
(-45 + 25n) = n + 3(18n + 5)

Reorder the terms:
-45 + 25n = n + 3(5 + 18n)
-45 + 25n = n + (5 * 3 + 18n * 3)
-45 + 25n = n + (15 + 54n)

Reorder the terms:
-45 + 25n = 15 + n + 54n

Combine like terms: n + 54n = 55n
-45 + 25n = 15 + 55n

Solving
-45 + 25n = 15 + 55n

Solving for variable 'n'.

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

Add '-55n' to each side of the equation.
-45 + 25n + -55n = 15 + 55n + -55n

Combine like terms: 25n + -55n = -30n
-45 + -30n = 15 + 55n + -55n

Combine like terms: 55n + -55n = 0
-45 + -30n = 15 + 0
-45 + -30n = 15

Add '45' to each side of the equation.
-45 + 45 + -30n = 15 + 45

Combine like terms: -45 + 45 = 0
0 + -30n = 15 + 45
-30n = 15 + 45

Combine like terms: 15 + 45 = 60
-30n = 60

Divide each side by '-30'.
n = -2

Simplifying
n = -2

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