-4(n-6)-6(2n+1)=-62

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Solution for -4(n-6)-6(2n+1)=-62 equation:


Simplifying
-4(n + -6) + -6(2n + 1) = -62

Reorder the terms:
-4(-6 + n) + -6(2n + 1) = -62
(-6 * -4 + n * -4) + -6(2n + 1) = -62
(24 + -4n) + -6(2n + 1) = -62

Reorder the terms:
24 + -4n + -6(1 + 2n) = -62
24 + -4n + (1 * -6 + 2n * -6) = -62
24 + -4n + (-6 + -12n) = -62

Reorder the terms:
24 + -6 + -4n + -12n = -62

Combine like terms: 24 + -6 = 18
18 + -4n + -12n = -62

Combine like terms: -4n + -12n = -16n
18 + -16n = -62

Solving
18 + -16n = -62

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 + -16n = -62 + -18

Combine like terms: 18 + -18 = 0
0 + -16n = -62 + -18
-16n = -62 + -18

Combine like terms: -62 + -18 = -80
-16n = -80

Divide each side by '-16'.
n = 5

Simplifying
n = 5

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