6n-17=10n+47

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Solution for 6n-17=10n+47 equation:


Simplifying
6n + -17 = 10n + 47

Reorder the terms:
-17 + 6n = 10n + 47

Reorder the terms:
-17 + 6n = 47 + 10n

Solving
-17 + 6n = 47 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-17 + 6n + -10n = 47 + 10n + -10n

Combine like terms: 6n + -10n = -4n
-17 + -4n = 47 + 10n + -10n

Combine like terms: 10n + -10n = 0
-17 + -4n = 47 + 0
-17 + -4n = 47

Add '17' to each side of the equation.
-17 + 17 + -4n = 47 + 17

Combine like terms: -17 + 17 = 0
0 + -4n = 47 + 17
-4n = 47 + 17

Combine like terms: 47 + 17 = 64
-4n = 64

Divide each side by '-4'.
n = -16

Simplifying
n = -16

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