(17n+11)-(5n+6)+(4n+5)=

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Solution for (17n+11)-(5n+6)+(4n+5)= equation:


Simplifying
(17n + 11) + -1(5n + 6) + (4n + 5) = 0

Reorder the terms:
(11 + 17n) + -1(5n + 6) + (4n + 5) = 0

Remove parenthesis around (11 + 17n)
11 + 17n + -1(5n + 6) + (4n + 5) = 0

Reorder the terms:
11 + 17n + -1(6 + 5n) + (4n + 5) = 0
11 + 17n + (6 * -1 + 5n * -1) + (4n + 5) = 0
11 + 17n + (-6 + -5n) + (4n + 5) = 0

Reorder the terms:
11 + 17n + -6 + -5n + (5 + 4n) = 0

Remove parenthesis around (5 + 4n)
11 + 17n + -6 + -5n + 5 + 4n = 0

Reorder the terms:
11 + -6 + 5 + 17n + -5n + 4n = 0

Combine like terms: 11 + -6 = 5
5 + 5 + 17n + -5n + 4n = 0

Combine like terms: 5 + 5 = 10
10 + 17n + -5n + 4n = 0

Combine like terms: 17n + -5n = 12n
10 + 12n + 4n = 0

Combine like terms: 12n + 4n = 16n
10 + 16n = 0

Solving
10 + 16n = 0

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 16n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 16n = 0 + -10
16n = 0 + -10

Combine like terms: 0 + -10 = -10
16n = -10

Divide each side by '16'.
n = -0.625

Simplifying
n = -0.625

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