14n-17+17n=15n-5(3n-13)

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Solution for 14n-17+17n=15n-5(3n-13) equation:


Simplifying
14n + -17 + 17n = 15n + -5(3n + -13)

Reorder the terms:
-17 + 14n + 17n = 15n + -5(3n + -13)

Combine like terms: 14n + 17n = 31n
-17 + 31n = 15n + -5(3n + -13)

Reorder the terms:
-17 + 31n = 15n + -5(-13 + 3n)
-17 + 31n = 15n + (-13 * -5 + 3n * -5)
-17 + 31n = 15n + (65 + -15n)

Reorder the terms:
-17 + 31n = 65 + 15n + -15n

Combine like terms: 15n + -15n = 0
-17 + 31n = 65 + 0
-17 + 31n = 65

Solving
-17 + 31n = 65

Solving for variable 'n'.

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

Add '17' to each side of the equation.
-17 + 17 + 31n = 65 + 17

Combine like terms: -17 + 17 = 0
0 + 31n = 65 + 17
31n = 65 + 17

Combine like terms: 65 + 17 = 82
31n = 82

Divide each side by '31'.
n = 2.64516129

Simplifying
n = 2.64516129

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