2-(3n+4)-(5n-6)-(7n-8)-(9n-10)=11

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Solution for 2-(3n+4)-(5n-6)-(7n-8)-(9n-10)=11 equation: 


Simplifying
2 + -1(3n + 4) + -1(5n + -6) + -1(7n + -8) + -1(9n + -10) = 11

Reorder the terms:
2 + -1(4 + 3n) + -1(5n + -6) + -1(7n + -8) + -1(9n + -10) = 11
2 + (4 * -1 + 3n * -1) + -1(5n + -6) + -1(7n + -8) + -1(9n + -10) = 11
2 + (-4 + -3n) + -1(5n + -6) + -1(7n + -8) + -1(9n + -10) = 11

Reorder the terms:
2 + -4 + -3n + -1(-6 + 5n) + -1(7n + -8) + -1(9n + -10) = 11
2 + -4 + -3n + (-6 * -1 + 5n * -1) + -1(7n + -8) + -1(9n + -10) = 11
2 + -4 + -3n + (6 + -5n) + -1(7n + -8) + -1(9n + -10) = 11

Reorder the terms:
2 + -4 + -3n + 6 + -5n + -1(-8 + 7n) + -1(9n + -10) = 11
2 + -4 + -3n + 6 + -5n + (-8 * -1 + 7n * -1) + -1(9n + -10) = 11
2 + -4 + -3n + 6 + -5n + (8 + -7n) + -1(9n + -10) = 11

Reorder the terms:
2 + -4 + -3n + 6 + -5n + 8 + -7n + -1(-10 + 9n) = 11
2 + -4 + -3n + 6 + -5n + 8 + -7n + (-10 * -1 + 9n * -1) = 11
2 + -4 + -3n + 6 + -5n + 8 + -7n + (10 + -9n) = 11

Reorder the terms:
2 + -4 + 6 + 8 + 10 + -3n + -5n + -7n + -9n = 11

Combine like terms: 2 + -4 = -2
-2 + 6 + 8 + 10 + -3n + -5n + -7n + -9n = 11

Combine like terms: -2 + 6 = 4
4 + 8 + 10 + -3n + -5n + -7n + -9n = 11

Combine like terms: 4 + 8 = 12
12 + 10 + -3n + -5n + -7n + -9n = 11

Combine like terms: 12 + 10 = 22
22 + -3n + -5n + -7n + -9n = 11

Combine like terms: -3n + -5n = -8n
22 + -8n + -7n + -9n = 11

Combine like terms: -8n + -7n = -15n
22 + -15n + -9n = 11

Combine like terms: -15n + -9n = -24n
22 + -24n = 11

Solving
22 + -24n = 11

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -24n = 11 + -22

Combine like terms: 22 + -22 = 0
0 + -24n = 11 + -22
-24n = 11 + -22

Combine like terms: 11 + -22 = -11
-24n = -11

Divide each side by '-24'.
n = 0.4583333333

Simplifying
n = 0.4583333333

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