(40-5n)=(50-4(2n-2))

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Solution for (40-5n)=(50-4(2n-2)) equation: 


Simplifying
(40 + -5n) = (50 + -4(2n + -2))

Remove parenthesis around (40 + -5n)
40 + -5n = (50 + -4(2n + -2))

Reorder the terms:
40 + -5n = (50 + -4(-2 + 2n))
40 + -5n = (50 + (-2 * -4 + 2n * -4))
40 + -5n = (50 + (8 + -8n))

Combine like terms: 50 + 8 = 58
40 + -5n = (58 + -8n)

Remove parenthesis around (58 + -8n)
40 + -5n = 58 + -8n

Solving
40 + -5n = 58 + -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.
40 + -5n + 8n = 58 + -8n + 8n

Combine like terms: -5n + 8n = 3n
40 + 3n = 58 + -8n + 8n

Combine like terms: -8n + 8n = 0
40 + 3n = 58 + 0
40 + 3n = 58

Add '-40' to each side of the equation.
40 + -40 + 3n = 58 + -40

Combine like terms: 40 + -40 = 0
0 + 3n = 58 + -40
3n = 58 + -40

Combine like terms: 58 + -40 = 18
3n = 18

Divide each side by '3'.
n = 6

Simplifying
n = 6

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