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

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


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

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

Reorder the terms:
27 + 27n = 7(7 + 9n) + 4
27 + 27n = (7 * 7 + 9n * 7) + 4
27 + 27n = (49 + 63n) + 4

Reorder the terms:
27 + 27n = 49 + 4 + 63n

Combine like terms: 49 + 4 = 53
27 + 27n = 53 + 63n

Solving
27 + 27n = 53 + 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.
27 + 27n + -63n = 53 + 63n + -63n

Combine like terms: 27n + -63n = -36n
27 + -36n = 53 + 63n + -63n

Combine like terms: 63n + -63n = 0
27 + -36n = 53 + 0
27 + -36n = 53

Add '-27' to each side of the equation.
27 + -27 + -36n = 53 + -27

Combine like terms: 27 + -27 = 0
0 + -36n = 53 + -27
-36n = 53 + -27

Combine like terms: 53 + -27 = 26
-36n = 26

Divide each side by '-36'.
n = -0.7222222222

Simplifying
n = -0.7222222222

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