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

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


Simplifying
5(n + 3) + 7(n + -2) = 0

Reorder the terms:
5(3 + n) + 7(n + -2) = 0
(3 * 5 + n * 5) + 7(n + -2) = 0
(15 + 5n) + 7(n + -2) = 0

Reorder the terms:
15 + 5n + 7(-2 + n) = 0
15 + 5n + (-2 * 7 + n * 7) = 0
15 + 5n + (-14 + 7n) = 0

Reorder the terms:
15 + -14 + 5n + 7n = 0

Combine like terms: 15 + -14 = 1
1 + 5n + 7n = 0

Combine like terms: 5n + 7n = 12n
1 + 12n = 0

Solving
1 + 12n = 0

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + 12n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12n = 0 + -1
12n = 0 + -1

Combine like terms: 0 + -1 = -1
12n = -1

Divide each side by '12'.
n = -0.08333333333

Simplifying
n = -0.08333333333

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