3n-(8n+13)=5-(13-7)

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Solution for 3n-(8n+13)=5-(13-7) equation:


Simplifying
3n + -1(8n + 13) = 5 + -1(13 + -7)

Reorder the terms:
3n + -1(13 + 8n) = 5 + -1(13 + -7)
3n + (13 * -1 + 8n * -1) = 5 + -1(13 + -7)
3n + (-13 + -8n) = 5 + -1(13 + -7)

Reorder the terms:
-13 + 3n + -8n = 5 + -1(13 + -7)

Combine like terms: 3n + -8n = -5n
-13 + -5n = 5 + -1(13 + -7)

Combine like terms: 13 + -7 = 6
-13 + -5n = 5 + -1(6)

Multiply -1 * 6
-13 + -5n = 5 + -6

Combine like terms: 5 + -6 = -1
-13 + -5n = -1

Solving
-13 + -5n = -1

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + -5n = -1 + 13

Combine like terms: -13 + 13 = 0
0 + -5n = -1 + 13
-5n = -1 + 13

Combine like terms: -1 + 13 = 12
-5n = 12

Divide each side by '-5'.
n = -2.4

Simplifying
n = -2.4

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