6n=-3(2n+1)+7n

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Solution for 6n=-3(2n+1)+7n equation:


Simplifying
6n = -3(2n + 1) + 7n

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

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

Solving
6n = -3 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6n + -1n = -3 + 1n + -1n

Combine like terms: 6n + -1n = 5n
5n = -3 + 1n + -1n

Combine like terms: 1n + -1n = 0
5n = -3 + 0
5n = -3

Divide each side by '5'.
n = -0.6

Simplifying
n = -0.6

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