(6n+12)+(3n+6)=58.5

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Solution for (6n+12)+(3n+6)=58.5 equation:


Simplifying
(6n + 12) + (3n + 6) = 58.5

Reorder the terms:
(12 + 6n) + (3n + 6) = 58.5

Remove parenthesis around (12 + 6n)
12 + 6n + (3n + 6) = 58.5

Reorder the terms:
12 + 6n + (6 + 3n) = 58.5

Remove parenthesis around (6 + 3n)
12 + 6n + 6 + 3n = 58.5

Reorder the terms:
12 + 6 + 6n + 3n = 58.5

Combine like terms: 12 + 6 = 18
18 + 6n + 3n = 58.5

Combine like terms: 6n + 3n = 9n
18 + 9n = 58.5

Solving
18 + 9n = 58.5

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + -18 + 9n = 58.5 + -18

Combine like terms: 18 + -18 = 0
0 + 9n = 58.5 + -18
9n = 58.5 + -18

Combine like terms: 58.5 + -18 = 40.5
9n = 40.5

Divide each side by '9'.
n = 4.5

Simplifying
n = 4.5

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