5n-2(n-5)=-17

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Solution for 5n-2(n-5)=-17 equation:


Simplifying
5n + -2(n + -5) = -17

Reorder the terms:
5n + -2(-5 + n) = -17
5n + (-5 * -2 + n * -2) = -17
5n + (10 + -2n) = -17

Reorder the terms:
10 + 5n + -2n = -17

Combine like terms: 5n + -2n = 3n
10 + 3n = -17

Solving
10 + 3n = -17

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 3n = -17 + -10

Combine like terms: 10 + -10 = 0
0 + 3n = -17 + -10
3n = -17 + -10

Combine like terms: -17 + -10 = -27
3n = -27

Divide each side by '3'.
n = -9

Simplifying
n = -9

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