17-(4n-5)=9n-3(n+7)

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Solution for 17-(4n-5)=9n-3(n+7) equation: 


Simplifying
17 + -1(4n + -5) = 9n + -3(n + 7)

Reorder the terms:
17 + -1(-5 + 4n) = 9n + -3(n + 7)
17 + (-5 * -1 + 4n * -1) = 9n + -3(n + 7)
17 + (5 + -4n) = 9n + -3(n + 7)

Combine like terms: 17 + 5 = 22
22 + -4n = 9n + -3(n + 7)

Reorder the terms:
22 + -4n = 9n + -3(7 + n)
22 + -4n = 9n + (7 * -3 + n * -3)
22 + -4n = 9n + (-21 + -3n)

Reorder the terms:
22 + -4n = -21 + 9n + -3n

Combine like terms: 9n + -3n = 6n
22 + -4n = -21 + 6n

Solving
22 + -4n = -21 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
22 + -4n + -6n = -21 + 6n + -6n

Combine like terms: -4n + -6n = -10n
22 + -10n = -21 + 6n + -6n

Combine like terms: 6n + -6n = 0
22 + -10n = -21 + 0
22 + -10n = -21

Add '-22' to each side of the equation.
22 + -22 + -10n = -21 + -22

Combine like terms: 22 + -22 = 0
0 + -10n = -21 + -22
-10n = -21 + -22

Combine like terms: -21 + -22 = -43
-10n = -43

Divide each side by '-10'.
n = 4.3

Simplifying
n = 4.3

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