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

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


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

Reorder the terms:
-5 + 3n = -8(6 + 5n)
-5 + 3n = (6 * -8 + 5n * -8)
-5 + 3n = (-48 + -40n)

Solving
-5 + 3n = -48 + -40n

Solving for variable 'n'.

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

Add '40n' to each side of the equation.
-5 + 3n + 40n = -48 + -40n + 40n

Combine like terms: 3n + 40n = 43n
-5 + 43n = -48 + -40n + 40n

Combine like terms: -40n + 40n = 0
-5 + 43n = -48 + 0
-5 + 43n = -48

Add '5' to each side of the equation.
-5 + 5 + 43n = -48 + 5

Combine like terms: -5 + 5 = 0
0 + 43n = -48 + 5
43n = -48 + 5

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

Divide each side by '43'.
n = -1

Simplifying
n = -1

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