4(2n-2)=(6n+9)+1

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Solution for 4(2n-2)=(6n+9)+1 equation:


Simplifying
4(2n + -2) = (6n + 9) + 1

Reorder the terms:
4(-2 + 2n) = (6n + 9) + 1
(-2 * 4 + 2n * 4) = (6n + 9) + 1
(-8 + 8n) = (6n + 9) + 1

Reorder the terms:
-8 + 8n = (9 + 6n) + 1

Remove parenthesis around (9 + 6n)
-8 + 8n = 9 + 6n + 1

Reorder the terms:
-8 + 8n = 9 + 1 + 6n

Combine like terms: 9 + 1 = 10
-8 + 8n = 10 + 6n

Solving
-8 + 8n = 10 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-8 + 8n + -6n = 10 + 6n + -6n

Combine like terms: 8n + -6n = 2n
-8 + 2n = 10 + 6n + -6n

Combine like terms: 6n + -6n = 0
-8 + 2n = 10 + 0
-8 + 2n = 10

Add '8' to each side of the equation.
-8 + 8 + 2n = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 2n = 10 + 8
2n = 10 + 8

Combine like terms: 10 + 8 = 18
2n = 18

Divide each side by '2'.
n = 9

Simplifying
n = 9

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