5(n-2)-(7-4n)=8n

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Solution for 5(n-2)-(7-4n)=8n equation:


Simplifying
5(n + -2) + -1(7 + -4n) = 8n

Reorder the terms:
5(-2 + n) + -1(7 + -4n) = 8n
(-2 * 5 + n * 5) + -1(7 + -4n) = 8n
(-10 + 5n) + -1(7 + -4n) = 8n
-10 + 5n + (7 * -1 + -4n * -1) = 8n
-10 + 5n + (-7 + 4n) = 8n

Reorder the terms:
-10 + -7 + 5n + 4n = 8n

Combine like terms: -10 + -7 = -17
-17 + 5n + 4n = 8n

Combine like terms: 5n + 4n = 9n
-17 + 9n = 8n

Solving
-17 + 9n = 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.
-17 + 9n + -8n = 8n + -8n

Combine like terms: 9n + -8n = 1n
-17 + 1n = 8n + -8n

Combine like terms: 8n + -8n = 0
-17 + 1n = 0

Add '17' to each side of the equation.
-17 + 17 + 1n = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 1n = 0 + 17
1n = 0 + 17

Combine like terms: 0 + 17 = 17
1n = 17

Divide each side by '1'.
n = 17

Simplifying
n = 17

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