11+2(5-2n)=-2(n-9)+3

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Solution for 11+2(5-2n)=-2(n-9)+3 equation:


Simplifying
11 + 2(5 + -2n) = -2(n + -9) + 3
11 + (5 * 2 + -2n * 2) = -2(n + -9) + 3
11 + (10 + -4n) = -2(n + -9) + 3

Combine like terms: 11 + 10 = 21
21 + -4n = -2(n + -9) + 3

Reorder the terms:
21 + -4n = -2(-9 + n) + 3
21 + -4n = (-9 * -2 + n * -2) + 3
21 + -4n = (18 + -2n) + 3

Reorder the terms:
21 + -4n = 18 + 3 + -2n

Combine like terms: 18 + 3 = 21
21 + -4n = 21 + -2n

Add '-21' to each side of the equation.
21 + -21 + -4n = 21 + -21 + -2n

Combine like terms: 21 + -21 = 0
0 + -4n = 21 + -21 + -2n
-4n = 21 + -21 + -2n

Combine like terms: 21 + -21 = 0
-4n = 0 + -2n
-4n = -2n

Solving
-4n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-4n + 2n = -2n + 2n

Combine like terms: -4n + 2n = -2n
-2n = -2n + 2n

Combine like terms: -2n + 2n = 0
-2n = 0

Divide each side by '-2'.
n = 0

Simplifying
n = 0

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