4(2n+1)-9=11

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Solution for 4(2n+1)-9=11 equation:


Simplifying
4(2n + 1) + -9 = 11

Reorder the terms:
4(1 + 2n) + -9 = 11
(1 * 4 + 2n * 4) + -9 = 11
(4 + 8n) + -9 = 11

Reorder the terms:
4 + -9 + 8n = 11

Combine like terms: 4 + -9 = -5
-5 + 8n = 11

Solving
-5 + 8n = 11

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 8n = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 8n = 11 + 5
8n = 11 + 5

Combine like terms: 11 + 5 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2

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