5n+4=-2(2n-11)

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Solution for 5n+4=-2(2n-11) equation:


Simplifying
5n + 4 = -2(2n + -11)

Reorder the terms:
4 + 5n = -2(2n + -11)

Reorder the terms:
4 + 5n = -2(-11 + 2n)
4 + 5n = (-11 * -2 + 2n * -2)
4 + 5n = (22 + -4n)

Solving
4 + 5n = 22 + -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.
4 + 5n + 4n = 22 + -4n + 4n

Combine like terms: 5n + 4n = 9n
4 + 9n = 22 + -4n + 4n

Combine like terms: -4n + 4n = 0
4 + 9n = 22 + 0
4 + 9n = 22

Add '-4' to each side of the equation.
4 + -4 + 9n = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 9n = 22 + -4
9n = 22 + -4

Combine like terms: 22 + -4 = 18
9n = 18

Divide each side by '9'.
n = 2

Simplifying
n = 2

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