11n-4(2n-3)=18+5(n-2)

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Solution for 11n-4(2n-3)=18+5(n-2) equation:


Simplifying
11n + -4(2n + -3) = 18 + 5(n + -2)

Reorder the terms:
11n + -4(-3 + 2n) = 18 + 5(n + -2)
11n + (-3 * -4 + 2n * -4) = 18 + 5(n + -2)
11n + (12 + -8n) = 18 + 5(n + -2)

Reorder the terms:
12 + 11n + -8n = 18 + 5(n + -2)

Combine like terms: 11n + -8n = 3n
12 + 3n = 18 + 5(n + -2)

Reorder the terms:
12 + 3n = 18 + 5(-2 + n)
12 + 3n = 18 + (-2 * 5 + n * 5)
12 + 3n = 18 + (-10 + 5n)

Combine like terms: 18 + -10 = 8
12 + 3n = 8 + 5n

Solving
12 + 3n = 8 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
12 + 3n + -5n = 8 + 5n + -5n

Combine like terms: 3n + -5n = -2n
12 + -2n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + -2n = 8 + 0
12 + -2n = 8

Add '-12' to each side of the equation.
12 + -12 + -2n = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = 8 + -12
-2n = 8 + -12

Combine like terms: 8 + -12 = -4
-2n = -4

Divide each side by '-2'.
n = 2

Simplifying
n = 2

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