3(3n+5)=7(9n+1)+6

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Solution for 3(3n+5)=7(9n+1)+6 equation:


Simplifying
3(3n + 5) = 7(9n + 1) + 6

Reorder the terms:
3(5 + 3n) = 7(9n + 1) + 6
(5 * 3 + 3n * 3) = 7(9n + 1) + 6
(15 + 9n) = 7(9n + 1) + 6

Reorder the terms:
15 + 9n = 7(1 + 9n) + 6
15 + 9n = (1 * 7 + 9n * 7) + 6
15 + 9n = (7 + 63n) + 6

Reorder the terms:
15 + 9n = 7 + 6 + 63n

Combine like terms: 7 + 6 = 13
15 + 9n = 13 + 63n

Solving
15 + 9n = 13 + 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.
15 + 9n + -63n = 13 + 63n + -63n

Combine like terms: 9n + -63n = -54n
15 + -54n = 13 + 63n + -63n

Combine like terms: 63n + -63n = 0
15 + -54n = 13 + 0
15 + -54n = 13

Add '-15' to each side of the equation.
15 + -15 + -54n = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -54n = 13 + -15
-54n = 13 + -15

Combine like terms: 13 + -15 = -2
-54n = -2

Divide each side by '-54'.
n = 0.03703703704

Simplifying
n = 0.03703703704

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