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

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


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

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

Multiply -2 * 3
3n = -6(-1 + n) + 1
3n = (-1 * -6 + n * -6) + 1
3n = (6 + -6n) + 1

Reorder the terms:
3n = 6 + 1 + -6n

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

Solving
3n = 7 + -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.
3n + 6n = 7 + -6n + 6n

Combine like terms: 3n + 6n = 9n
9n = 7 + -6n + 6n

Combine like terms: -6n + 6n = 0
9n = 7 + 0
9n = 7

Divide each side by '9'.
n = 0.7777777778

Simplifying
n = 0.7777777778

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