5n+9=4-4(2n-11)

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Solution for 5n+9=4-4(2n-11) equation:


Simplifying
5n + 9 = 4 + -4(2n + -11)

Reorder the terms:
9 + 5n = 4 + -4(2n + -11)

Reorder the terms:
9 + 5n = 4 + -4(-11 + 2n)
9 + 5n = 4 + (-11 * -4 + 2n * -4)
9 + 5n = 4 + (44 + -8n)

Combine like terms: 4 + 44 = 48
9 + 5n = 48 + -8n

Solving
9 + 5n = 48 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
9 + 5n + 8n = 48 + -8n + 8n

Combine like terms: 5n + 8n = 13n
9 + 13n = 48 + -8n + 8n

Combine like terms: -8n + 8n = 0
9 + 13n = 48 + 0
9 + 13n = 48

Add '-9' to each side of the equation.
9 + -9 + 13n = 48 + -9

Combine like terms: 9 + -9 = 0
0 + 13n = 48 + -9
13n = 48 + -9

Combine like terms: 48 + -9 = 39
13n = 39

Divide each side by '13'.
n = 3

Simplifying
n = 3

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