3(16-4n)+5n=-20+(10-10n-6n)

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Solution for 3(16-4n)+5n=-20+(10-10n-6n) equation: 


Simplifying
3(16 + -4n) + 5n = -20 + (10 + -10n + -6n)
(16 * 3 + -4n * 3) + 5n = -20 + (10 + -10n + -6n)
(48 + -12n) + 5n = -20 + (10 + -10n + -6n)

Combine like terms: -12n + 5n = -7n
48 + -7n = -20 + (10 + -10n + -6n)

Combine like terms: -10n + -6n = -16n
48 + -7n = -20 + (10 + -16n)

Remove parenthesis around (10 + -16n)
48 + -7n = -20 + 10 + -16n

Combine like terms: -20 + 10 = -10
48 + -7n = -10 + -16n

Solving
48 + -7n = -10 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
48 + -7n + 16n = -10 + -16n + 16n

Combine like terms: -7n + 16n = 9n
48 + 9n = -10 + -16n + 16n

Combine like terms: -16n + 16n = 0
48 + 9n = -10 + 0
48 + 9n = -10

Add '-48' to each side of the equation.
48 + -48 + 9n = -10 + -48

Combine like terms: 48 + -48 = 0
0 + 9n = -10 + -48
9n = -10 + -48

Combine like terms: -10 + -48 = -58
9n = -58

Divide each side by '9'.
n = -6.444444444

Simplifying
n = -6.444444444

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