4(2n+3)=6(4n+4)+5

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Solution for 4(2n+3)=6(4n+4)+5 equation: 


Simplifying
4(2n + 3) = 6(4n + 4) + 5

Reorder the terms:
4(3 + 2n) = 6(4n + 4) + 5
(3 * 4 + 2n * 4) = 6(4n + 4) + 5
(12 + 8n) = 6(4n + 4) + 5

Reorder the terms:
12 + 8n = 6(4 + 4n) + 5
12 + 8n = (4 * 6 + 4n * 6) + 5
12 + 8n = (24 + 24n) + 5

Reorder the terms:
12 + 8n = 24 + 5 + 24n

Combine like terms: 24 + 5 = 29
12 + 8n = 29 + 24n

Solving
12 + 8n = 29 + 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.
12 + 8n + -24n = 29 + 24n + -24n

Combine like terms: 8n + -24n = -16n
12 + -16n = 29 + 24n + -24n

Combine like terms: 24n + -24n = 0
12 + -16n = 29 + 0
12 + -16n = 29

Add '-12' to each side of the equation.
12 + -12 + -16n = 29 + -12

Combine like terms: 12 + -12 = 0
0 + -16n = 29 + -12
-16n = 29 + -12

Combine like terms: 29 + -12 = 17
-16n = 17

Divide each side by '-16'.
n = -1.0625

Simplifying
n = -1.0625

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