-6(n+2)+13=-4n-9

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Solution for -6(n+2)+13=-4n-9 equation:


Simplifying
-6(n + 2) + 13 = -4n + -9

Reorder the terms:
-6(2 + n) + 13 = -4n + -9
(2 * -6 + n * -6) + 13 = -4n + -9
(-12 + -6n) + 13 = -4n + -9

Reorder the terms:
-12 + 13 + -6n = -4n + -9

Combine like terms: -12 + 13 = 1
1 + -6n = -4n + -9

Reorder the terms:
1 + -6n = -9 + -4n

Solving
1 + -6n = -9 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
1 + -6n + 4n = -9 + -4n + 4n

Combine like terms: -6n + 4n = -2n
1 + -2n = -9 + -4n + 4n

Combine like terms: -4n + 4n = 0
1 + -2n = -9 + 0
1 + -2n = -9

Add '-1' to each side of the equation.
1 + -1 + -2n = -9 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = -9 + -1
-2n = -9 + -1

Combine like terms: -9 + -1 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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