2(7+3n)+5(3n+5)=60

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Solution for 2(7+3n)+5(3n+5)=60 equation:


Simplifying
2(7 + 3n) + 5(3n + 5) = 60
(7 * 2 + 3n * 2) + 5(3n + 5) = 60
(14 + 6n) + 5(3n + 5) = 60

Reorder the terms:
14 + 6n + 5(5 + 3n) = 60
14 + 6n + (5 * 5 + 3n * 5) = 60
14 + 6n + (25 + 15n) = 60

Reorder the terms:
14 + 25 + 6n + 15n = 60

Combine like terms: 14 + 25 = 39
39 + 6n + 15n = 60

Combine like terms: 6n + 15n = 21n
39 + 21n = 60

Solving
39 + 21n = 60

Solving for variable 'n'.

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

Add '-39' to each side of the equation.
39 + -39 + 21n = 60 + -39

Combine like terms: 39 + -39 = 0
0 + 21n = 60 + -39
21n = 60 + -39

Combine like terms: 60 + -39 = 21
21n = 21

Divide each side by '21'.
n = 1

Simplifying
n = 1

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