5n-3[n-5]=13

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Solution for 5n-3[n-5]=13 equation:


Simplifying
5n + -3[n + -5] = 13

Reorder the terms:
5n + -3[-5 + n] = 13
5n + [-5 * -3 + n * -3] = 13
5n + [15 + -3n] = 13

Reorder the terms:
15 + 5n + -3n = 13

Combine like terms: 5n + -3n = 2n
15 + 2n = 13

Solving
15 + 2n = 13

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + 2n = 13 + -15

Combine like terms: 15 + -15 = 0
0 + 2n = 13 + -15
2n = 13 + -15

Combine like terms: 13 + -15 = -2
2n = -2

Divide each side by '2'.
n = -1

Simplifying
n = -1

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