5(6n-5)+5=4(2n+10)+7n

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Solution for 5(6n-5)+5=4(2n+10)+7n equation:


Simplifying
5(6n + -5) + 5 = 4(2n + 10) + 7n

Reorder the terms:
5(-5 + 6n) + 5 = 4(2n + 10) + 7n
(-5 * 5 + 6n * 5) + 5 = 4(2n + 10) + 7n
(-25 + 30n) + 5 = 4(2n + 10) + 7n

Reorder the terms:
-25 + 5 + 30n = 4(2n + 10) + 7n

Combine like terms: -25 + 5 = -20
-20 + 30n = 4(2n + 10) + 7n

Reorder the terms:
-20 + 30n = 4(10 + 2n) + 7n
-20 + 30n = (10 * 4 + 2n * 4) + 7n
-20 + 30n = (40 + 8n) + 7n

Combine like terms: 8n + 7n = 15n
-20 + 30n = 40 + 15n

Solving
-20 + 30n = 40 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
-20 + 30n + -15n = 40 + 15n + -15n

Combine like terms: 30n + -15n = 15n
-20 + 15n = 40 + 15n + -15n

Combine like terms: 15n + -15n = 0
-20 + 15n = 40 + 0
-20 + 15n = 40

Add '20' to each side of the equation.
-20 + 20 + 15n = 40 + 20

Combine like terms: -20 + 20 = 0
0 + 15n = 40 + 20
15n = 40 + 20

Combine like terms: 40 + 20 = 60
15n = 60

Divide each side by '15'.
n = 4

Simplifying
n = 4

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