9(2n+2)=9(7n+2)+4

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Solution for 9(2n+2)=9(7n+2)+4 equation:


Simplifying
9(2n + 2) = 9(7n + 2) + 4

Reorder the terms:
9(2 + 2n) = 9(7n + 2) + 4
(2 * 9 + 2n * 9) = 9(7n + 2) + 4
(18 + 18n) = 9(7n + 2) + 4

Reorder the terms:
18 + 18n = 9(2 + 7n) + 4
18 + 18n = (2 * 9 + 7n * 9) + 4
18 + 18n = (18 + 63n) + 4

Reorder the terms:
18 + 18n = 18 + 4 + 63n

Combine like terms: 18 + 4 = 22
18 + 18n = 22 + 63n

Solving
18 + 18n = 22 + 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.
18 + 18n + -63n = 22 + 63n + -63n

Combine like terms: 18n + -63n = -45n
18 + -45n = 22 + 63n + -63n

Combine like terms: 63n + -63n = 0
18 + -45n = 22 + 0
18 + -45n = 22

Add '-18' to each side of the equation.
18 + -18 + -45n = 22 + -18

Combine like terms: 18 + -18 = 0
0 + -45n = 22 + -18
-45n = 22 + -18

Combine like terms: 22 + -18 = 4
-45n = 4

Divide each side by '-45'.
n = -0.08888888889

Simplifying
n = -0.08888888889

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