-2(n+5)=4(1+3n)

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Solution for -2(n+5)=4(1+3n) equation:


Simplifying
-2(n + 5) = 4(1 + 3n)

Reorder the terms:
-2(5 + n) = 4(1 + 3n)
(5 * -2 + n * -2) = 4(1 + 3n)
(-10 + -2n) = 4(1 + 3n)
-10 + -2n = (1 * 4 + 3n * 4)
-10 + -2n = (4 + 12n)

Solving
-10 + -2n = 4 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-10 + -2n + -12n = 4 + 12n + -12n

Combine like terms: -2n + -12n = -14n
-10 + -14n = 4 + 12n + -12n

Combine like terms: 12n + -12n = 0
-10 + -14n = 4 + 0
-10 + -14n = 4

Add '10' to each side of the equation.
-10 + 10 + -14n = 4 + 10

Combine like terms: -10 + 10 = 0
0 + -14n = 4 + 10
-14n = 4 + 10

Combine like terms: 4 + 10 = 14
-14n = 14

Divide each side by '-14'.
n = -1

Simplifying
n = -1

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