512=-6(5+6n)-5n

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Solution for 512=-6(5+6n)-5n equation:


Simplifying
512 = -6(5 + 6n) + -5n
512 = (5 * -6 + 6n * -6) + -5n
512 = (-30 + -36n) + -5n

Combine like terms: -36n + -5n = -41n
512 = -30 + -41n

Solving
512 = -30 + -41n

Solving for variable 'n'.

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

Add '41n' to each side of the equation.
512 + 41n = -30 + -41n + 41n

Combine like terms: -41n + 41n = 0
512 + 41n = -30 + 0
512 + 41n = -30

Add '-512' to each side of the equation.
512 + -512 + 41n = -30 + -512

Combine like terms: 512 + -512 = 0
0 + 41n = -30 + -512
41n = -30 + -512

Combine like terms: -30 + -512 = -542
41n = -542

Divide each side by '41'.
n = -13.2195122

Simplifying
n = -13.2195122

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