4n+6-(5n+3)=n

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Solution for 4n+6-(5n+3)=n equation:


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

Reorder the terms:
4n + 6 + -1(3 + 5n) = n
4n + 6 + (3 * -1 + 5n * -1) = n
4n + 6 + (-3 + -5n) = n

Reorder the terms:
6 + -3 + 4n + -5n = n

Combine like terms: 6 + -3 = 3
3 + 4n + -5n = n

Combine like terms: 4n + -5n = -1n
3 + -1n = n

Solving
3 + -1n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
3 + -1n + -1n = n + -1n

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

Combine like terms: n + -1n = 0
3 + -2n = 0

Add '-3' to each side of the equation.
3 + -3 + -2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2n = 0 + -3
-2n = 0 + -3

Combine like terms: 0 + -3 = -3
-2n = -3

Divide each side by '-2'.
n = 1.5

Simplifying
n = 1.5

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