-17+3n=7(n-2)

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Solution for -17+3n=7(n-2) equation:


Simplifying
-17 + 3n = 7(n + -2)

Reorder the terms:
-17 + 3n = 7(-2 + n)
-17 + 3n = (-2 * 7 + n * 7)
-17 + 3n = (-14 + 7n)

Solving
-17 + 3n = -14 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-17 + 3n + -7n = -14 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-17 + -4n = -14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-17 + -4n = -14 + 0
-17 + -4n = -14

Add '17' to each side of the equation.
-17 + 17 + -4n = -14 + 17

Combine like terms: -17 + 17 = 0
0 + -4n = -14 + 17
-4n = -14 + 17

Combine like terms: -14 + 17 = 3
-4n = 3

Divide each side by '-4'.
n = -0.75

Simplifying
n = -0.75

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