7(2n+3)=6(9n+3)+8

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Solution for 7(2n+3)=6(9n+3)+8 equation:


Simplifying
7(2n + 3) = 6(9n + 3) + 8

Reorder the terms:
7(3 + 2n) = 6(9n + 3) + 8
(3 * 7 + 2n * 7) = 6(9n + 3) + 8
(21 + 14n) = 6(9n + 3) + 8

Reorder the terms:
21 + 14n = 6(3 + 9n) + 8
21 + 14n = (3 * 6 + 9n * 6) + 8
21 + 14n = (18 + 54n) + 8

Reorder the terms:
21 + 14n = 18 + 8 + 54n

Combine like terms: 18 + 8 = 26
21 + 14n = 26 + 54n

Solving
21 + 14n = 26 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
21 + 14n + -54n = 26 + 54n + -54n

Combine like terms: 14n + -54n = -40n
21 + -40n = 26 + 54n + -54n

Combine like terms: 54n + -54n = 0
21 + -40n = 26 + 0
21 + -40n = 26

Add '-21' to each side of the equation.
21 + -21 + -40n = 26 + -21

Combine like terms: 21 + -21 = 0
0 + -40n = 26 + -21
-40n = 26 + -21

Combine like terms: 26 + -21 = 5
-40n = 5

Divide each side by '-40'.
n = -0.125

Simplifying
n = -0.125

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