n*2+7n+40=-6n

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Solution for n*2+7n+40=-6n equation:


Simplifying
n * 2 + 7n + 40 = -6n

Reorder the terms for easier multiplication:
2n + 7n + 40 = -6n

Reorder the terms:
40 + 2n + 7n = -6n

Combine like terms: 2n + 7n = 9n
40 + 9n = -6n

Solving
40 + 9n = -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.
40 + 9n + 6n = -6n + 6n

Combine like terms: 9n + 6n = 15n
40 + 15n = -6n + 6n

Combine like terms: -6n + 6n = 0
40 + 15n = 0

Add '-40' to each side of the equation.
40 + -40 + 15n = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 15n = 0 + -40
15n = 0 + -40

Combine like terms: 0 + -40 = -40
15n = -40

Divide each side by '15'.
n = -2.666666667

Simplifying
n = -2.666666667

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