2(-6+2n)=2(3n-(6+5))

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Solution for 2(-6+2n)=2(3n-(6+5)) equation:


Simplifying
2(-6 + 2n) = 2(3n + -1(6 + 5))
(-6 * 2 + 2n * 2) = 2(3n + -1(6 + 5))
(-12 + 4n) = 2(3n + -1(6 + 5))

Combine like terms: 6 + 5 = 11
-12 + 4n = 2(3n + -1(11))

Multiply -1 * 11
-12 + 4n = 2(3n + -11)

Reorder the terms:
-12 + 4n = 2(-11 + 3n)
-12 + 4n = (-11 * 2 + 3n * 2)
-12 + 4n = (-22 + 6n)

Solving
-12 + 4n = -22 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-12 + 4n + -6n = -22 + 6n + -6n

Combine like terms: 4n + -6n = -2n
-12 + -2n = -22 + 6n + -6n

Combine like terms: 6n + -6n = 0
-12 + -2n = -22 + 0
-12 + -2n = -22

Add '12' to each side of the equation.
-12 + 12 + -2n = -22 + 12

Combine like terms: -12 + 12 = 0
0 + -2n = -22 + 12
-2n = -22 + 12

Combine like terms: -22 + 12 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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