7(3n+2)=7(7n+9)+3

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Solution for 7(3n+2)=7(7n+9)+3 equation:


Simplifying
7(3n + 2) = 7(7n + 9) + 3

Reorder the terms:
7(2 + 3n) = 7(7n + 9) + 3
(2 * 7 + 3n * 7) = 7(7n + 9) + 3
(14 + 21n) = 7(7n + 9) + 3

Reorder the terms:
14 + 21n = 7(9 + 7n) + 3
14 + 21n = (9 * 7 + 7n * 7) + 3
14 + 21n = (63 + 49n) + 3

Reorder the terms:
14 + 21n = 63 + 3 + 49n

Combine like terms: 63 + 3 = 66
14 + 21n = 66 + 49n

Solving
14 + 21n = 66 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
14 + 21n + -49n = 66 + 49n + -49n

Combine like terms: 21n + -49n = -28n
14 + -28n = 66 + 49n + -49n

Combine like terms: 49n + -49n = 0
14 + -28n = 66 + 0
14 + -28n = 66

Add '-14' to each side of the equation.
14 + -14 + -28n = 66 + -14

Combine like terms: 14 + -14 = 0
0 + -28n = 66 + -14
-28n = 66 + -14

Combine like terms: 66 + -14 = 52
-28n = 52

Divide each side by '-28'.
n = -1.857142857

Simplifying
n = -1.857142857

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