5(2n-3)-(n+8)=13

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Solution for 5(2n-3)-(n+8)=13 equation:


Simplifying
5(2n + -3) + -1(n + 8) = 13

Reorder the terms:
5(-3 + 2n) + -1(n + 8) = 13
(-3 * 5 + 2n * 5) + -1(n + 8) = 13
(-15 + 10n) + -1(n + 8) = 13

Reorder the terms:
-15 + 10n + -1(8 + n) = 13
-15 + 10n + (8 * -1 + n * -1) = 13
-15 + 10n + (-8 + -1n) = 13

Reorder the terms:
-15 + -8 + 10n + -1n = 13

Combine like terms: -15 + -8 = -23
-23 + 10n + -1n = 13

Combine like terms: 10n + -1n = 9n
-23 + 9n = 13

Solving
-23 + 9n = 13

Solving for variable 'n'.

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

Add '23' to each side of the equation.
-23 + 23 + 9n = 13 + 23

Combine like terms: -23 + 23 = 0
0 + 9n = 13 + 23
9n = 13 + 23

Combine like terms: 13 + 23 = 36
9n = 36

Divide each side by '9'.
n = 4

Simplifying
n = 4

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