13-7n=-6-9(n+3)

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Solution for 13-7n=-6-9(n+3) equation:


Simplifying
13 + -7n = -6 + -9(n + 3)

Reorder the terms:
13 + -7n = -6 + -9(3 + n)
13 + -7n = -6 + (3 * -9 + n * -9)
13 + -7n = -6 + (-27 + -9n)

Combine like terms: -6 + -27 = -33
13 + -7n = -33 + -9n

Solving
13 + -7n = -33 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
13 + -7n + 9n = -33 + -9n + 9n

Combine like terms: -7n + 9n = 2n
13 + 2n = -33 + -9n + 9n

Combine like terms: -9n + 9n = 0
13 + 2n = -33 + 0
13 + 2n = -33

Add '-13' to each side of the equation.
13 + -13 + 2n = -33 + -13

Combine like terms: 13 + -13 = 0
0 + 2n = -33 + -13
2n = -33 + -13

Combine like terms: -33 + -13 = -46
2n = -46

Divide each side by '2'.
n = -23

Simplifying
n = -23

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