5(n+4)-3(n-2)=30

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Solution for 5(n+4)-3(n-2)=30 equation:


Simplifying
5(n + 4) + -3(n + -2) = 30

Reorder the terms:
5(4 + n) + -3(n + -2) = 30
(4 * 5 + n * 5) + -3(n + -2) = 30
(20 + 5n) + -3(n + -2) = 30

Reorder the terms:
20 + 5n + -3(-2 + n) = 30
20 + 5n + (-2 * -3 + n * -3) = 30
20 + 5n + (6 + -3n) = 30

Reorder the terms:
20 + 6 + 5n + -3n = 30

Combine like terms: 20 + 6 = 26
26 + 5n + -3n = 30

Combine like terms: 5n + -3n = 2n
26 + 2n = 30

Solving
26 + 2n = 30

Solving for variable 'n'.

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

Add '-26' to each side of the equation.
26 + -26 + 2n = 30 + -26

Combine like terms: 26 + -26 = 0
0 + 2n = 30 + -26
2n = 30 + -26

Combine like terms: 30 + -26 = 4
2n = 4

Divide each side by '2'.
n = 2

Simplifying
n = 2

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