7(2n+3)=8(9n+3)+1

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Solution for 7(2n+3)=8(9n+3)+1 equation: 


Simplifying
7(2n + 3) = 8(9n + 3) + 1

Reorder the terms:
7(3 + 2n) = 8(9n + 3) + 1
(3 * 7 + 2n * 7) = 8(9n + 3) + 1
(21 + 14n) = 8(9n + 3) + 1

Reorder the terms:
21 + 14n = 8(3 + 9n) + 1
21 + 14n = (3 * 8 + 9n * 8) + 1
21 + 14n = (24 + 72n) + 1

Reorder the terms:
21 + 14n = 24 + 1 + 72n

Combine like terms: 24 + 1 = 25
21 + 14n = 25 + 72n

Solving
21 + 14n = 25 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
21 + 14n + -72n = 25 + 72n + -72n

Combine like terms: 14n + -72n = -58n
21 + -58n = 25 + 72n + -72n

Combine like terms: 72n + -72n = 0
21 + -58n = 25 + 0
21 + -58n = 25

Add '-21' to each side of the equation.
21 + -21 + -58n = 25 + -21

Combine like terms: 21 + -21 = 0
0 + -58n = 25 + -21
-58n = 25 + -21

Combine like terms: 25 + -21 = 4
-58n = 4

Divide each side by '-58'.
n = -0.06896551724

Simplifying
n = -0.06896551724

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