10-2(n-1)=4n-1

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Solution for 10-2(n-1)=4n-1 equation:


Simplifying
10 + -2(n + -1) = 4n + -1

Reorder the terms:
10 + -2(-1 + n) = 4n + -1
10 + (-1 * -2 + n * -2) = 4n + -1
10 + (2 + -2n) = 4n + -1

Combine like terms: 10 + 2 = 12
12 + -2n = 4n + -1

Reorder the terms:
12 + -2n = -1 + 4n

Solving
12 + -2n = -1 + 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.
12 + -2n + -4n = -1 + 4n + -4n

Combine like terms: -2n + -4n = -6n
12 + -6n = -1 + 4n + -4n

Combine like terms: 4n + -4n = 0
12 + -6n = -1 + 0
12 + -6n = -1

Add '-12' to each side of the equation.
12 + -12 + -6n = -1 + -12

Combine like terms: 12 + -12 = 0
0 + -6n = -1 + -12
-6n = -1 + -12

Combine like terms: -1 + -12 = -13
-6n = -13

Divide each side by '-6'.
n = 2.166666667

Simplifying
n = 2.166666667

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