3n-5=-8(6)+5n

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Solution for 3n-5=-8(6)+5n equation:


Simplifying
3n + -5 = -8(6) + 5n

Reorder the terms:
-5 + 3n = -8(6) + 5n

Multiply -8 * 6
-5 + 3n = -48 + 5n

Solving
-5 + 3n = -48 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-5 + 3n + -5n = -48 + 5n + -5n

Combine like terms: 3n + -5n = -2n
-5 + -2n = -48 + 5n + -5n

Combine like terms: 5n + -5n = 0
-5 + -2n = -48 + 0
-5 + -2n = -48

Add '5' to each side of the equation.
-5 + 5 + -2n = -48 + 5

Combine like terms: -5 + 5 = 0
0 + -2n = -48 + 5
-2n = -48 + 5

Combine like terms: -48 + 5 = -43
-2n = -43

Divide each side by '-2'.
n = 21.5

Simplifying
n = 21.5

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