5(n-7)-2(n+5)=-39

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Solution for 5(n-7)-2(n+5)=-39 equation:


Simplifying
5(n + -7) + -2(n + 5) = -39

Reorder the terms:
5(-7 + n) + -2(n + 5) = -39
(-7 * 5 + n * 5) + -2(n + 5) = -39
(-35 + 5n) + -2(n + 5) = -39

Reorder the terms:
-35 + 5n + -2(5 + n) = -39
-35 + 5n + (5 * -2 + n * -2) = -39
-35 + 5n + (-10 + -2n) = -39

Reorder the terms:
-35 + -10 + 5n + -2n = -39

Combine like terms: -35 + -10 = -45
-45 + 5n + -2n = -39

Combine like terms: 5n + -2n = 3n
-45 + 3n = -39

Solving
-45 + 3n = -39

Solving for variable 'n'.

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

Add '45' to each side of the equation.
-45 + 45 + 3n = -39 + 45

Combine like terms: -45 + 45 = 0
0 + 3n = -39 + 45
3n = -39 + 45

Combine like terms: -39 + 45 = 6
3n = 6

Divide each side by '3'.
n = 2

Simplifying
n = 2

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