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

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


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

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

Reorder the terms:
12 + 12n = 9(7 + 3n) + 4
12 + 12n = (7 * 9 + 3n * 9) + 4
12 + 12n = (63 + 27n) + 4

Reorder the terms:
12 + 12n = 63 + 4 + 27n

Combine like terms: 63 + 4 = 67
12 + 12n = 67 + 27n

Solving
12 + 12n = 67 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
12 + 12n + -27n = 67 + 27n + -27n

Combine like terms: 12n + -27n = -15n
12 + -15n = 67 + 27n + -27n

Combine like terms: 27n + -27n = 0
12 + -15n = 67 + 0
12 + -15n = 67

Add '-12' to each side of the equation.
12 + -12 + -15n = 67 + -12

Combine like terms: 12 + -12 = 0
0 + -15n = 67 + -12
-15n = 67 + -12

Combine like terms: 67 + -12 = 55
-15n = 55

Divide each side by '-15'.
n = -3.666666667

Simplifying
n = -3.666666667

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