11(4n+9)-6(n-6)=-3n-4n

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Solution for 11(4n+9)-6(n-6)=-3n-4n equation:


Simplifying
11(4n + 9) + -6(n + -6) = -3n + -4n

Reorder the terms:
11(9 + 4n) + -6(n + -6) = -3n + -4n
(9 * 11 + 4n * 11) + -6(n + -6) = -3n + -4n
(99 + 44n) + -6(n + -6) = -3n + -4n

Reorder the terms:
99 + 44n + -6(-6 + n) = -3n + -4n
99 + 44n + (-6 * -6 + n * -6) = -3n + -4n
99 + 44n + (36 + -6n) = -3n + -4n

Reorder the terms:
99 + 36 + 44n + -6n = -3n + -4n

Combine like terms: 99 + 36 = 135
135 + 44n + -6n = -3n + -4n

Combine like terms: 44n + -6n = 38n
135 + 38n = -3n + -4n

Combine like terms: -3n + -4n = -7n
135 + 38n = -7n

Solving
135 + 38n = -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
135 + 38n + 7n = -7n + 7n

Combine like terms: 38n + 7n = 45n
135 + 45n = -7n + 7n

Combine like terms: -7n + 7n = 0
135 + 45n = 0

Add '-135' to each side of the equation.
135 + -135 + 45n = 0 + -135

Combine like terms: 135 + -135 = 0
0 + 45n = 0 + -135
45n = 0 + -135

Combine like terms: 0 + -135 = -135
45n = -135

Divide each side by '45'.
n = -3

Simplifying
n = -3

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