4(2n+2)=6(4n+3)+9

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Solution for 4(2n+2)=6(4n+3)+9 equation:


Simplifying
4(2n + 2) = 6(4n + 3) + 9

Reorder the terms:
4(2 + 2n) = 6(4n + 3) + 9
(2 * 4 + 2n * 4) = 6(4n + 3) + 9
(8 + 8n) = 6(4n + 3) + 9

Reorder the terms:
8 + 8n = 6(3 + 4n) + 9
8 + 8n = (3 * 6 + 4n * 6) + 9
8 + 8n = (18 + 24n) + 9

Reorder the terms:
8 + 8n = 18 + 9 + 24n

Combine like terms: 18 + 9 = 27
8 + 8n = 27 + 24n

Solving
8 + 8n = 27 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
8 + 8n + -24n = 27 + 24n + -24n

Combine like terms: 8n + -24n = -16n
8 + -16n = 27 + 24n + -24n

Combine like terms: 24n + -24n = 0
8 + -16n = 27 + 0
8 + -16n = 27

Add '-8' to each side of the equation.
8 + -8 + -16n = 27 + -8

Combine like terms: 8 + -8 = 0
0 + -16n = 27 + -8
-16n = 27 + -8

Combine like terms: 27 + -8 = 19
-16n = 19

Divide each side by '-16'.
n = -1.1875

Simplifying
n = -1.1875

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