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

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


Simplifying
0 = 5(n + 2) + -3(n + 2)

Reorder the terms:
0 = 5(2 + n) + -3(n + 2)
0 = (2 * 5 + n * 5) + -3(n + 2)
0 = (10 + 5n) + -3(n + 2)

Reorder the terms:
0 = 10 + 5n + -3(2 + n)
0 = 10 + 5n + (2 * -3 + n * -3)
0 = 10 + 5n + (-6 + -3n)

Reorder the terms:
0 = 10 + -6 + 5n + -3n

Combine like terms: 10 + -6 = 4
0 = 4 + 5n + -3n

Combine like terms: 5n + -3n = 2n
0 = 4 + 2n

Solving
0 = 4 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
0 + -2n = 4 + 2n + -2n
Remove the zero:
-2n = 4 + 2n + -2n

Combine like terms: 2n + -2n = 0
-2n = 4 + 0
-2n = 4

Divide each side by '-2'.
n = -2

Simplifying
n = -2

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