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

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


Simplifying
-5 = -8(6 + 5n) + -3n
-5 = (6 * -8 + 5n * -8) + -3n
-5 = (-48 + -40n) + -3n

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

Solving
-5 = -48 + -43n

Solving for variable 'n'.

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

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

Combine like terms: -43n + 43n = 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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