6(n-3)+5n-6=-2

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Solution for 6(n-3)+5n-6=-2 equation:


Simplifying
6(n + -3) + 5n + -6 = -2

Reorder the terms:
6(-3 + n) + 5n + -6 = -2
(-3 * 6 + n * 6) + 5n + -6 = -2
(-18 + 6n) + 5n + -6 = -2

Reorder the terms:
-18 + -6 + 6n + 5n = -2

Combine like terms: -18 + -6 = -24
-24 + 6n + 5n = -2

Combine like terms: 6n + 5n = 11n
-24 + 11n = -2

Solving
-24 + 11n = -2

Solving for variable 'n'.

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

Add '24' to each side of the equation.
-24 + 24 + 11n = -2 + 24

Combine like terms: -24 + 24 = 0
0 + 11n = -2 + 24
11n = -2 + 24

Combine like terms: -2 + 24 = 22
11n = 22

Divide each side by '11'.
n = 2

Simplifying
n = 2

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