9(9n-1)+7(n+6)=-6

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Solution for 9(9n-1)+7(n+6)=-6 equation:


Simplifying
9(9n + -1) + 7(n + 6) = -6

Reorder the terms:
9(-1 + 9n) + 7(n + 6) = -6
(-1 * 9 + 9n * 9) + 7(n + 6) = -6
(-9 + 81n) + 7(n + 6) = -6

Reorder the terms:
-9 + 81n + 7(6 + n) = -6
-9 + 81n + (6 * 7 + n * 7) = -6
-9 + 81n + (42 + 7n) = -6

Reorder the terms:
-9 + 42 + 81n + 7n = -6

Combine like terms: -9 + 42 = 33
33 + 81n + 7n = -6

Combine like terms: 81n + 7n = 88n
33 + 88n = -6

Solving
33 + 88n = -6

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + 88n = -6 + -33

Combine like terms: 33 + -33 = 0
0 + 88n = -6 + -33
88n = -6 + -33

Combine like terms: -6 + -33 = -39
88n = -39

Divide each side by '88'.
n = -0.4431818182

Simplifying
n = -0.4431818182

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