6(9-n)=4n-17

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Solution for 6(9-n)=4n-17 equation:


Simplifying
6(9 + -1n) = 4n + -17
(9 * 6 + -1n * 6) = 4n + -17
(54 + -6n) = 4n + -17

Reorder the terms:
54 + -6n = -17 + 4n

Solving
54 + -6n = -17 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
54 + -6n + -4n = -17 + 4n + -4n

Combine like terms: -6n + -4n = -10n
54 + -10n = -17 + 4n + -4n

Combine like terms: 4n + -4n = 0
54 + -10n = -17 + 0
54 + -10n = -17

Add '-54' to each side of the equation.
54 + -54 + -10n = -17 + -54

Combine like terms: 54 + -54 = 0
0 + -10n = -17 + -54
-10n = -17 + -54

Combine like terms: -17 + -54 = -71
-10n = -71

Divide each side by '-10'.
n = 7.1

Simplifying
n = 7.1

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