10(n+3)=(15+5n)

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Solution for 10(n+3)=(15+5n) equation:


Simplifying
10(n + 3) = (15 + 5n)

Reorder the terms:
10(3 + n) = (15 + 5n)
(3 * 10 + n * 10) = (15 + 5n)
(30 + 10n) = (15 + 5n)

Remove parenthesis around (15 + 5n)
30 + 10n = 15 + 5n

Solving
30 + 10n = 15 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
30 + 10n + -5n = 15 + 5n + -5n

Combine like terms: 10n + -5n = 5n
30 + 5n = 15 + 5n + -5n

Combine like terms: 5n + -5n = 0
30 + 5n = 15 + 0
30 + 5n = 15

Add '-30' to each side of the equation.
30 + -30 + 5n = 15 + -30

Combine like terms: 30 + -30 = 0
0 + 5n = 15 + -30
5n = 15 + -30

Combine like terms: 15 + -30 = -15
5n = -15

Divide each side by '5'.
n = -3

Simplifying
n = -3

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