2(2n-1)=(7n+8)+9

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Solution for 2(2n-1)=(7n+8)+9 equation:


Simplifying
2(2n + -1) = (7n + 8) + 9

Reorder the terms:
2(-1 + 2n) = (7n + 8) + 9
(-1 * 2 + 2n * 2) = (7n + 8) + 9
(-2 + 4n) = (7n + 8) + 9

Reorder the terms:
-2 + 4n = (8 + 7n) + 9

Remove parenthesis around (8 + 7n)
-2 + 4n = 8 + 7n + 9

Reorder the terms:
-2 + 4n = 8 + 9 + 7n

Combine like terms: 8 + 9 = 17
-2 + 4n = 17 + 7n

Solving
-2 + 4n = 17 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-2 + 4n + -7n = 17 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-2 + -3n = 17 + 7n + -7n

Combine like terms: 7n + -7n = 0
-2 + -3n = 17 + 0
-2 + -3n = 17

Add '2' to each side of the equation.
-2 + 2 + -3n = 17 + 2

Combine like terms: -2 + 2 = 0
0 + -3n = 17 + 2
-3n = 17 + 2

Combine like terms: 17 + 2 = 19
-3n = 19

Divide each side by '-3'.
n = -6.333333333

Simplifying
n = -6.333333333

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