5n+2(2+3n)=7n-16

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Solution for 5n+2(2+3n)=7n-16 equation:


Simplifying
5n + 2(2 + 3n) = 7n + -16
5n + (2 * 2 + 3n * 2) = 7n + -16
5n + (4 + 6n) = 7n + -16

Reorder the terms:
4 + 5n + 6n = 7n + -16

Combine like terms: 5n + 6n = 11n
4 + 11n = 7n + -16

Reorder the terms:
4 + 11n = -16 + 7n

Solving
4 + 11n = -16 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
4 + 11n + -7n = -16 + 7n + -7n

Combine like terms: 11n + -7n = 4n
4 + 4n = -16 + 7n + -7n

Combine like terms: 7n + -7n = 0
4 + 4n = -16 + 0
4 + 4n = -16

Add '-4' to each side of the equation.
4 + -4 + 4n = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 4n = -16 + -4
4n = -16 + -4

Combine like terms: -16 + -4 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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