2(n+2)-(5n-9)=-4

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Solution for 2(n+2)-(5n-9)=-4 equation:


Simplifying
2(n + 2) + -1(5n + -9) = -4

Reorder the terms:
2(2 + n) + -1(5n + -9) = -4
(2 * 2 + n * 2) + -1(5n + -9) = -4
(4 + 2n) + -1(5n + -9) = -4

Reorder the terms:
4 + 2n + -1(-9 + 5n) = -4
4 + 2n + (-9 * -1 + 5n * -1) = -4
4 + 2n + (9 + -5n) = -4

Reorder the terms:
4 + 9 + 2n + -5n = -4

Combine like terms: 4 + 9 = 13
13 + 2n + -5n = -4

Combine like terms: 2n + -5n = -3n
13 + -3n = -4

Solving
13 + -3n = -4

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + -3n = -4 + -13

Combine like terms: 13 + -13 = 0
0 + -3n = -4 + -13
-3n = -4 + -13

Combine like terms: -4 + -13 = -17
-3n = -17

Divide each side by '-3'.
n = 5.666666667

Simplifying
n = 5.666666667

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