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

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


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

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

Reorder the terms:
16 + 24n = 8(9 + 7n) + 3
16 + 24n = (9 * 8 + 7n * 8) + 3
16 + 24n = (72 + 56n) + 3

Reorder the terms:
16 + 24n = 72 + 3 + 56n

Combine like terms: 72 + 3 = 75
16 + 24n = 75 + 56n

Solving
16 + 24n = 75 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
16 + 24n + -56n = 75 + 56n + -56n

Combine like terms: 24n + -56n = -32n
16 + -32n = 75 + 56n + -56n

Combine like terms: 56n + -56n = 0
16 + -32n = 75 + 0
16 + -32n = 75

Add '-16' to each side of the equation.
16 + -16 + -32n = 75 + -16

Combine like terms: 16 + -16 = 0
0 + -32n = 75 + -16
-32n = 75 + -16

Combine like terms: 75 + -16 = 59
-32n = 59

Divide each side by '-32'.
n = -1.84375

Simplifying
n = -1.84375

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