2+4(n+5)=-13-n

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Solution for 2+4(n+5)=-13-n equation:


Simplifying
2 + 4(n + 5) = -13 + -1n

Reorder the terms:
2 + 4(5 + n) = -13 + -1n
2 + (5 * 4 + n * 4) = -13 + -1n
2 + (20 + 4n) = -13 + -1n

Combine like terms: 2 + 20 = 22
22 + 4n = -13 + -1n

Solving
22 + 4n = -13 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
22 + 4n + n = -13 + -1n + n

Combine like terms: 4n + n = 5n
22 + 5n = -13 + -1n + n

Combine like terms: -1n + n = 0
22 + 5n = -13 + 0
22 + 5n = -13

Add '-22' to each side of the equation.
22 + -22 + 5n = -13 + -22

Combine like terms: 22 + -22 = 0
0 + 5n = -13 + -22
5n = -13 + -22

Combine like terms: -13 + -22 = -35
5n = -35

Divide each side by '5'.
n = -7

Simplifying
n = -7

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