-9(n+9)+6(n+5)=n-2+8n-1

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Solution for -9(n+9)+6(n+5)=n-2+8n-1 equation:


Simplifying
-9(n + 9) + 6(n + 5) = n + -2 + 8n + -1

Reorder the terms:
-9(9 + n) + 6(n + 5) = n + -2 + 8n + -1
(9 * -9 + n * -9) + 6(n + 5) = n + -2 + 8n + -1
(-81 + -9n) + 6(n + 5) = n + -2 + 8n + -1

Reorder the terms:
-81 + -9n + 6(5 + n) = n + -2 + 8n + -1
-81 + -9n + (5 * 6 + n * 6) = n + -2 + 8n + -1
-81 + -9n + (30 + 6n) = n + -2 + 8n + -1

Reorder the terms:
-81 + 30 + -9n + 6n = n + -2 + 8n + -1

Combine like terms: -81 + 30 = -51
-51 + -9n + 6n = n + -2 + 8n + -1

Combine like terms: -9n + 6n = -3n
-51 + -3n = n + -2 + 8n + -1

Reorder the terms:
-51 + -3n = -2 + -1 + n + 8n

Combine like terms: -2 + -1 = -3
-51 + -3n = -3 + n + 8n

Combine like terms: n + 8n = 9n
-51 + -3n = -3 + 9n

Solving
-51 + -3n = -3 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-51 + -3n + -9n = -3 + 9n + -9n

Combine like terms: -3n + -9n = -12n
-51 + -12n = -3 + 9n + -9n

Combine like terms: 9n + -9n = 0
-51 + -12n = -3 + 0
-51 + -12n = -3

Add '51' to each side of the equation.
-51 + 51 + -12n = -3 + 51

Combine like terms: -51 + 51 = 0
0 + -12n = -3 + 51
-12n = -3 + 51

Combine like terms: -3 + 51 = 48
-12n = 48

Divide each side by '-12'.
n = -4

Simplifying
n = -4

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