10(2n+2)=5(2n+24)

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Solution for 10(2n+2)=5(2n+24) equation:


Simplifying
10(2n + 2) = 5(2n + 24)

Reorder the terms:
10(2 + 2n) = 5(2n + 24)
(2 * 10 + 2n * 10) = 5(2n + 24)
(20 + 20n) = 5(2n + 24)

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

Solving
20 + 20n = 120 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
20 + 20n + -10n = 120 + 10n + -10n

Combine like terms: 20n + -10n = 10n
20 + 10n = 120 + 10n + -10n

Combine like terms: 10n + -10n = 0
20 + 10n = 120 + 0
20 + 10n = 120

Add '-20' to each side of the equation.
20 + -20 + 10n = 120 + -20

Combine like terms: 20 + -20 = 0
0 + 10n = 120 + -20
10n = 120 + -20

Combine like terms: 120 + -20 = 100
10n = 100

Divide each side by '10'.
n = 10

Simplifying
n = 10

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