-2(n-3)-(3n-1)=-3+(7n-1)

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Solution for -2(n-3)-(3n-1)=-3+(7n-1) equation:


Simplifying
-2(n + -3) + -1(3n + -1) = -3 + (7n + -1)

Reorder the terms:
-2(-3 + n) + -1(3n + -1) = -3 + (7n + -1)
(-3 * -2 + n * -2) + -1(3n + -1) = -3 + (7n + -1)
(6 + -2n) + -1(3n + -1) = -3 + (7n + -1)

Reorder the terms:
6 + -2n + -1(-1 + 3n) = -3 + (7n + -1)
6 + -2n + (-1 * -1 + 3n * -1) = -3 + (7n + -1)
6 + -2n + (1 + -3n) = -3 + (7n + -1)

Reorder the terms:
6 + 1 + -2n + -3n = -3 + (7n + -1)

Combine like terms: 6 + 1 = 7
7 + -2n + -3n = -3 + (7n + -1)

Combine like terms: -2n + -3n = -5n
7 + -5n = -3 + (7n + -1)

Reorder the terms:
7 + -5n = -3 + (-1 + 7n)

Remove parenthesis around (-1 + 7n)
7 + -5n = -3 + -1 + 7n

Combine like terms: -3 + -1 = -4
7 + -5n = -4 + 7n

Solving
7 + -5n = -4 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
7 + -5n + -7n = -4 + 7n + -7n

Combine like terms: -5n + -7n = -12n
7 + -12n = -4 + 7n + -7n

Combine like terms: 7n + -7n = 0
7 + -12n = -4 + 0
7 + -12n = -4

Add '-7' to each side of the equation.
7 + -7 + -12n = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -12n = -4 + -7
-12n = -4 + -7

Combine like terms: -4 + -7 = -11
-12n = -11

Divide each side by '-12'.
n = 0.9166666667

Simplifying
n = 0.9166666667

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