4(-1-4n)=6(-3n-5)

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Solution for 4(-1-4n)=6(-3n-5) equation:


Simplifying
4(-1 + -4n) = 6(-3n + -5)
(-1 * 4 + -4n * 4) = 6(-3n + -5)
(-4 + -16n) = 6(-3n + -5)

Reorder the terms:
-4 + -16n = 6(-5 + -3n)
-4 + -16n = (-5 * 6 + -3n * 6)
-4 + -16n = (-30 + -18n)

Solving
-4 + -16n = -30 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
-4 + -16n + 18n = -30 + -18n + 18n

Combine like terms: -16n + 18n = 2n
-4 + 2n = -30 + -18n + 18n

Combine like terms: -18n + 18n = 0
-4 + 2n = -30 + 0
-4 + 2n = -30

Add '4' to each side of the equation.
-4 + 4 + 2n = -30 + 4

Combine like terms: -4 + 4 = 0
0 + 2n = -30 + 4
2n = -30 + 4

Combine like terms: -30 + 4 = -26
2n = -26

Divide each side by '2'.
n = -13

Simplifying
n = -13

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