3n-5=4-8(6+5n)

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Solution for 3n-5=4-8(6+5n) equation:


Simplifying
3n + -5 = 4 + -8(6 + 5n)

Reorder the terms:
-5 + 3n = 4 + -8(6 + 5n)
-5 + 3n = 4 + (6 * -8 + 5n * -8)
-5 + 3n = 4 + (-48 + -40n)

Combine like terms: 4 + -48 = -44
-5 + 3n = -44 + -40n

Solving
-5 + 3n = -44 + -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 = -44 + -40n + 40n

Combine like terms: 3n + 40n = 43n
-5 + 43n = -44 + -40n + 40n

Combine like terms: -40n + 40n = 0
-5 + 43n = -44 + 0
-5 + 43n = -44

Add '5' to each side of the equation.
-5 + 5 + 43n = -44 + 5

Combine like terms: -5 + 5 = 0
0 + 43n = -44 + 5
43n = -44 + 5

Combine like terms: -44 + 5 = -39
43n = -39

Divide each side by '43'.
n = -0.9069767442

Simplifying
n = -0.9069767442

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