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

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


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

Reorder the terms:
8(2 + 3n) = 7(7n + 9) + 3
(2 * 8 + 3n * 8) = 7(7n + 9) + 3
(16 + 24n) = 7(7n + 9) + 3

Reorder the terms:
16 + 24n = 7(9 + 7n) + 3
16 + 24n = (9 * 7 + 7n * 7) + 3
16 + 24n = (63 + 49n) + 3

Reorder the terms:
16 + 24n = 63 + 3 + 49n

Combine like terms: 63 + 3 = 66
16 + 24n = 66 + 49n

Solving
16 + 24n = 66 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
16 + 24n + -49n = 66 + 49n + -49n

Combine like terms: 24n + -49n = -25n
16 + -25n = 66 + 49n + -49n

Combine like terms: 49n + -49n = 0
16 + -25n = 66 + 0
16 + -25n = 66

Add '-16' to each side of the equation.
16 + -16 + -25n = 66 + -16

Combine like terms: 16 + -16 = 0
0 + -25n = 66 + -16
-25n = 66 + -16

Combine like terms: 66 + -16 = 50
-25n = 50

Divide each side by '-25'.
n = -2

Simplifying
n = -2

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