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

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


Simplifying
2(3n + 4) + -2(2n + 5) = 0

Reorder the terms:
2(4 + 3n) + -2(2n + 5) = 0
(4 * 2 + 3n * 2) + -2(2n + 5) = 0
(8 + 6n) + -2(2n + 5) = 0

Reorder the terms:
8 + 6n + -2(5 + 2n) = 0
8 + 6n + (5 * -2 + 2n * -2) = 0
8 + 6n + (-10 + -4n) = 0

Reorder the terms:
8 + -10 + 6n + -4n = 0

Combine like terms: 8 + -10 = -2
-2 + 6n + -4n = 0

Combine like terms: 6n + -4n = 2n
-2 + 2n = 0

Solving
-2 + 2n = 0

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 2n = 0 + 2

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

Combine like terms: 0 + 2 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1

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