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

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


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

Reorder the terms:
(1 + 2n) + -1(4 + -6n) = 4n

Remove parenthesis around (1 + 2n)
1 + 2n + -1(4 + -6n) = 4n
1 + 2n + (4 * -1 + -6n * -1) = 4n
1 + 2n + (-4 + 6n) = 4n

Reorder the terms:
1 + -4 + 2n + 6n = 4n

Combine like terms: 1 + -4 = -3
-3 + 2n + 6n = 4n

Combine like terms: 2n + 6n = 8n
-3 + 8n = 4n

Solving
-3 + 8n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-3 + 8n + -4n = 4n + -4n

Combine like terms: 8n + -4n = 4n
-3 + 4n = 4n + -4n

Combine like terms: 4n + -4n = 0
-3 + 4n = 0

Add '3' to each side of the equation.
-3 + 3 + 4n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4n = 0 + 3
4n = 0 + 3

Combine like terms: 0 + 3 = 3
4n = 3

Divide each side by '4'.
n = 0.75

Simplifying
n = 0.75

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