(-6n)-20=(-2n)+4(1+3n)

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Solution for (-6n)-20=(-2n)+4(1+3n) equation:


Simplifying
(-6n) + -20 = (-2n) + 4(1 + 3n)

Reorder the terms:
-20 + (-6n) = (-2n) + 4(1 + 3n)
-20 + (-6n) = (-2n) + (1 * 4 + 3n * 4)
-20 + (-6n) = (-2n) + (4 + 12n)

Reorder the terms:
-20 + (-6n) = 4 + (-2n) + 12n

Combine like terms: (-2n) + 12n = 10n
-20 + (-6n) = 4 + 10n

Solving
-20 + (-6n) = 4 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-20 + (-6n) + -10n = 4 + 10n + -10n

Combine like terms: (-6n) + -10n = -16n
-20 + -16n = 4 + 10n + -10n

Combine like terms: 10n + -10n = 0
-20 + -16n = 4 + 0
-20 + -16n = 4

Add '20' to each side of the equation.
-20 + 20 + -16n = 4 + 20

Combine like terms: -20 + 20 = 0
0 + -16n = 4 + 20
-16n = 4 + 20

Combine like terms: 4 + 20 = 24
-16n = 24

Divide each side by '-16'.
n = -1.5

Simplifying
n = -1.5

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