3(3n+4)=7(8n+9)+3

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Solution for 3(3n+4)=7(8n+9)+3 equation: 


Simplifying
3(3n + 4) = 7(8n + 9) + 3

Reorder the terms:
3(4 + 3n) = 7(8n + 9) + 3
(4 * 3 + 3n * 3) = 7(8n + 9) + 3
(12 + 9n) = 7(8n + 9) + 3

Reorder the terms:
12 + 9n = 7(9 + 8n) + 3
12 + 9n = (9 * 7 + 8n * 7) + 3
12 + 9n = (63 + 56n) + 3

Reorder the terms:
12 + 9n = 63 + 3 + 56n

Combine like terms: 63 + 3 = 66
12 + 9n = 66 + 56n

Solving
12 + 9n = 66 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
12 + 9n + -56n = 66 + 56n + -56n

Combine like terms: 9n + -56n = -47n
12 + -47n = 66 + 56n + -56n

Combine like terms: 56n + -56n = 0
12 + -47n = 66 + 0
12 + -47n = 66

Add '-12' to each side of the equation.
12 + -12 + -47n = 66 + -12

Combine like terms: 12 + -12 = 0
0 + -47n = 66 + -12
-47n = 66 + -12

Combine like terms: 66 + -12 = 54
-47n = 54

Divide each side by '-47'.
n = -1.14893617

Simplifying
n = -1.14893617

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