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

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Solution for 4(n+6)-(6+5n)=-2 equation:


Simplifying
4(n + 6) + -1(6 + 5n) = -2

Reorder the terms:
4(6 + n) + -1(6 + 5n) = -2
(6 * 4 + n * 4) + -1(6 + 5n) = -2
(24 + 4n) + -1(6 + 5n) = -2
24 + 4n + (6 * -1 + 5n * -1) = -2
24 + 4n + (-6 + -5n) = -2

Reorder the terms:
24 + -6 + 4n + -5n = -2

Combine like terms: 24 + -6 = 18
18 + 4n + -5n = -2

Combine like terms: 4n + -5n = -1n
18 + -1n = -2

Solving
18 + -1n = -2

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + -18 + -1n = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -1n = -2 + -18
-1n = -2 + -18

Combine like terms: -2 + -18 = -20
-1n = -20

Divide each side by '-1'.
n = 20

Simplifying
n = 20

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