2n-3(4n-5)=6(n-3)-1

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Solution for 2n-3(4n-5)=6(n-3)-1 equation: 


Simplifying
2n + -3(4n + -5) = 6(n + -3) + -1

Reorder the terms:
2n + -3(-5 + 4n) = 6(n + -3) + -1
2n + (-5 * -3 + 4n * -3) = 6(n + -3) + -1
2n + (15 + -12n) = 6(n + -3) + -1

Reorder the terms:
15 + 2n + -12n = 6(n + -3) + -1

Combine like terms: 2n + -12n = -10n
15 + -10n = 6(n + -3) + -1

Reorder the terms:
15 + -10n = 6(-3 + n) + -1
15 + -10n = (-3 * 6 + n * 6) + -1
15 + -10n = (-18 + 6n) + -1

Reorder the terms:
15 + -10n = -18 + -1 + 6n

Combine like terms: -18 + -1 = -19
15 + -10n = -19 + 6n

Solving
15 + -10n = -19 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
15 + -10n + -6n = -19 + 6n + -6n

Combine like terms: -10n + -6n = -16n
15 + -16n = -19 + 6n + -6n

Combine like terms: 6n + -6n = 0
15 + -16n = -19 + 0
15 + -16n = -19

Add '-15' to each side of the equation.
15 + -15 + -16n = -19 + -15

Combine like terms: 15 + -15 = 0
0 + -16n = -19 + -15
-16n = -19 + -15

Combine like terms: -19 + -15 = -34
-16n = -34

Divide each side by '-16'.
n = 2.125

Simplifying
n = 2.125

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