9(2n+4)=7(9n+3)+7

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Solution for 9(2n+4)=7(9n+3)+7 equation:


Simplifying
9(2n + 4) = 7(9n + 3) + 7

Reorder the terms:
9(4 + 2n) = 7(9n + 3) + 7
(4 * 9 + 2n * 9) = 7(9n + 3) + 7
(36 + 18n) = 7(9n + 3) + 7

Reorder the terms:
36 + 18n = 7(3 + 9n) + 7
36 + 18n = (3 * 7 + 9n * 7) + 7
36 + 18n = (21 + 63n) + 7

Reorder the terms:
36 + 18n = 21 + 7 + 63n

Combine like terms: 21 + 7 = 28
36 + 18n = 28 + 63n

Solving
36 + 18n = 28 + 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.
36 + 18n + -63n = 28 + 63n + -63n

Combine like terms: 18n + -63n = -45n
36 + -45n = 28 + 63n + -63n

Combine like terms: 63n + -63n = 0
36 + -45n = 28 + 0
36 + -45n = 28

Add '-36' to each side of the equation.
36 + -36 + -45n = 28 + -36

Combine like terms: 36 + -36 = 0
0 + -45n = 28 + -36
-45n = 28 + -36

Combine like terms: 28 + -36 = -8
-45n = -8

Divide each side by '-45'.
n = 0.1777777778

Simplifying
n = 0.1777777778

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