17+n=3[2(7-4n)+5n]

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Solution for 17+n=3[2(7-4n)+5n] equation:


Simplifying
17 + n = 3[2(7 + -4n) + 5n]
17 + n = 3[(7 * 2 + -4n * 2) + 5n]
17 + n = 3[(14 + -8n) + 5n]

Combine like terms: -8n + 5n = -3n
17 + n = 3[14 + -3n]
17 + n = [14 * 3 + -3n * 3]
17 + n = [42 + -9n]

Solving
17 + n = 42 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
17 + n + 9n = 42 + -9n + 9n

Combine like terms: n + 9n = 10n
17 + 10n = 42 + -9n + 9n

Combine like terms: -9n + 9n = 0
17 + 10n = 42 + 0
17 + 10n = 42

Add '-17' to each side of the equation.
17 + -17 + 10n = 42 + -17

Combine like terms: 17 + -17 = 0
0 + 10n = 42 + -17
10n = 42 + -17

Combine like terms: 42 + -17 = 25
10n = 25

Divide each side by '10'.
n = 2.5

Simplifying
n = 2.5

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