24(3n+5)-20(5n+8)=10(2n+2)

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Solution for 24(3n+5)-20(5n+8)=10(2n+2) equation:


Simplifying
24(3n + 5) + -20(5n + 8) = 10(2n + 2)

Reorder the terms:
24(5 + 3n) + -20(5n + 8) = 10(2n + 2)
(5 * 24 + 3n * 24) + -20(5n + 8) = 10(2n + 2)
(120 + 72n) + -20(5n + 8) = 10(2n + 2)

Reorder the terms:
120 + 72n + -20(8 + 5n) = 10(2n + 2)
120 + 72n + (8 * -20 + 5n * -20) = 10(2n + 2)
120 + 72n + (-160 + -100n) = 10(2n + 2)

Reorder the terms:
120 + -160 + 72n + -100n = 10(2n + 2)

Combine like terms: 120 + -160 = -40
-40 + 72n + -100n = 10(2n + 2)

Combine like terms: 72n + -100n = -28n
-40 + -28n = 10(2n + 2)

Reorder the terms:
-40 + -28n = 10(2 + 2n)
-40 + -28n = (2 * 10 + 2n * 10)
-40 + -28n = (20 + 20n)

Solving
-40 + -28n = 20 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-40 + -28n + -20n = 20 + 20n + -20n

Combine like terms: -28n + -20n = -48n
-40 + -48n = 20 + 20n + -20n

Combine like terms: 20n + -20n = 0
-40 + -48n = 20 + 0
-40 + -48n = 20

Add '40' to each side of the equation.
-40 + 40 + -48n = 20 + 40

Combine like terms: -40 + 40 = 0
0 + -48n = 20 + 40
-48n = 20 + 40

Combine like terms: 20 + 40 = 60
-48n = 60

Divide each side by '-48'.
n = -1.25

Simplifying
n = -1.25

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