7(3n+2)=8(5n+9)+2

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Solution for 7(3n+2)=8(5n+9)+2 equation: 


Simplifying
7(3n + 2) = 8(5n + 9) + 2

Reorder the terms:
7(2 + 3n) = 8(5n + 9) + 2
(2 * 7 + 3n * 7) = 8(5n + 9) + 2
(14 + 21n) = 8(5n + 9) + 2

Reorder the terms:
14 + 21n = 8(9 + 5n) + 2
14 + 21n = (9 * 8 + 5n * 8) + 2
14 + 21n = (72 + 40n) + 2

Reorder the terms:
14 + 21n = 72 + 2 + 40n

Combine like terms: 72 + 2 = 74
14 + 21n = 74 + 40n

Solving
14 + 21n = 74 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
14 + 21n + -40n = 74 + 40n + -40n

Combine like terms: 21n + -40n = -19n
14 + -19n = 74 + 40n + -40n

Combine like terms: 40n + -40n = 0
14 + -19n = 74 + 0
14 + -19n = 74

Add '-14' to each side of the equation.
14 + -14 + -19n = 74 + -14

Combine like terms: 14 + -14 = 0
0 + -19n = 74 + -14
-19n = 74 + -14

Combine like terms: 74 + -14 = 60
-19n = 60

Divide each side by '-19'.
n = -3.157894737

Simplifying
n = -3.157894737

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