17+7n=2(3n+5)

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Solution for 17+7n=2(3n+5) equation:


Simplifying
17 + 7n = 2(3n + 5)

Reorder the terms:
17 + 7n = 2(5 + 3n)
17 + 7n = (5 * 2 + 3n * 2)
17 + 7n = (10 + 6n)

Solving
17 + 7n = 10 + 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.
17 + 7n + -6n = 10 + 6n + -6n

Combine like terms: 7n + -6n = 1n
17 + 1n = 10 + 6n + -6n

Combine like terms: 6n + -6n = 0
17 + 1n = 10 + 0
17 + 1n = 10

Add '-17' to each side of the equation.
17 + -17 + 1n = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 1n = 10 + -17
1n = 10 + -17

Combine like terms: 10 + -17 = -7
1n = -7

Divide each side by '1'.
n = -7

Simplifying
n = -7

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