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

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


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

Reorder the terms:
7(4 + 3n) = 9(4n + 7) + 4
(4 * 7 + 3n * 7) = 9(4n + 7) + 4
(28 + 21n) = 9(4n + 7) + 4

Reorder the terms:
28 + 21n = 9(7 + 4n) + 4
28 + 21n = (7 * 9 + 4n * 9) + 4
28 + 21n = (63 + 36n) + 4

Reorder the terms:
28 + 21n = 63 + 4 + 36n

Combine like terms: 63 + 4 = 67
28 + 21n = 67 + 36n

Solving
28 + 21n = 67 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
28 + 21n + -36n = 67 + 36n + -36n

Combine like terms: 21n + -36n = -15n
28 + -15n = 67 + 36n + -36n

Combine like terms: 36n + -36n = 0
28 + -15n = 67 + 0
28 + -15n = 67

Add '-28' to each side of the equation.
28 + -28 + -15n = 67 + -28

Combine like terms: 28 + -28 = 0
0 + -15n = 67 + -28
-15n = 67 + -28

Combine like terms: 67 + -28 = 39
-15n = 39

Divide each side by '-15'.
n = -2.6

Simplifying
n = -2.6

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