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

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


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

Reorder the terms:
6(6 + 4n) + -6(-5 + -2n) = -6
(6 * 6 + 4n * 6) + -6(-5 + -2n) = -6
(36 + 24n) + -6(-5 + -2n) = -6
36 + 24n + (-5 * -6 + -2n * -6) = -6
36 + 24n + (30 + 12n) = -6

Reorder the terms:
36 + 30 + 24n + 12n = -6

Combine like terms: 36 + 30 = 66
66 + 24n + 12n = -6

Combine like terms: 24n + 12n = 36n
66 + 36n = -6

Solving
66 + 36n = -6

Solving for variable 'n'.

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

Add '-66' to each side of the equation.
66 + -66 + 36n = -6 + -66

Combine like terms: 66 + -66 = 0
0 + 36n = -6 + -66
36n = -6 + -66

Combine like terms: -6 + -66 = -72
36n = -72

Divide each side by '36'.
n = -2

Simplifying
n = -2

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