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

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Solution for 6(n-1)=5n+3-2n equation:


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

Reorder the terms:
6(-1 + n) = 5n + 3 + -2n
(-1 * 6 + n * 6) = 5n + 3 + -2n
(-6 + 6n) = 5n + 3 + -2n

Reorder the terms:
-6 + 6n = 3 + 5n + -2n

Combine like terms: 5n + -2n = 3n
-6 + 6n = 3 + 3n

Solving
-6 + 6n = 3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 6n + -3n = 3 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
-6 + 3n = 3 + 0
-6 + 3n = 3

Add '6' to each side of the equation.
-6 + 6 + 3n = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 3 + 6
3n = 3 + 6

Combine like terms: 3 + 6 = 9
3n = 9

Divide each side by '3'.
n = 3

Simplifying
n = 3

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