4(3n+5)=7(9n+9)+9

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Solution for 4(3n+5)=7(9n+9)+9 equation: 


Simplifying
4(3n + 5) = 7(9n + 9) + 9

Reorder the terms:
4(5 + 3n) = 7(9n + 9) + 9
(5 * 4 + 3n * 4) = 7(9n + 9) + 9
(20 + 12n) = 7(9n + 9) + 9

Reorder the terms:
20 + 12n = 7(9 + 9n) + 9
20 + 12n = (9 * 7 + 9n * 7) + 9
20 + 12n = (63 + 63n) + 9

Reorder the terms:
20 + 12n = 63 + 9 + 63n

Combine like terms: 63 + 9 = 72
20 + 12n = 72 + 63n

Solving
20 + 12n = 72 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
20 + 12n + -63n = 72 + 63n + -63n

Combine like terms: 12n + -63n = -51n
20 + -51n = 72 + 63n + -63n

Combine like terms: 63n + -63n = 0
20 + -51n = 72 + 0
20 + -51n = 72

Add '-20' to each side of the equation.
20 + -20 + -51n = 72 + -20

Combine like terms: 20 + -20 = 0
0 + -51n = 72 + -20
-51n = 72 + -20

Combine like terms: 72 + -20 = 52
-51n = 52

Divide each side by '-51'.
n = -1.019607843

Simplifying
n = -1.019607843

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