2(3n+1)=8(7n+4)+3

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Solution for 2(3n+1)=8(7n+4)+3 equation: 


Simplifying
2(3n + 1) = 8(7n + 4) + 3

Reorder the terms:
2(1 + 3n) = 8(7n + 4) + 3
(1 * 2 + 3n * 2) = 8(7n + 4) + 3
(2 + 6n) = 8(7n + 4) + 3

Reorder the terms:
2 + 6n = 8(4 + 7n) + 3
2 + 6n = (4 * 8 + 7n * 8) + 3
2 + 6n = (32 + 56n) + 3

Reorder the terms:
2 + 6n = 32 + 3 + 56n

Combine like terms: 32 + 3 = 35
2 + 6n = 35 + 56n

Solving
2 + 6n = 35 + 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.
2 + 6n + -56n = 35 + 56n + -56n

Combine like terms: 6n + -56n = -50n
2 + -50n = 35 + 56n + -56n

Combine like terms: 56n + -56n = 0
2 + -50n = 35 + 0
2 + -50n = 35

Add '-2' to each side of the equation.
2 + -2 + -50n = 35 + -2

Combine like terms: 2 + -2 = 0
0 + -50n = 35 + -2
-50n = 35 + -2

Combine like terms: 35 + -2 = 33
-50n = 33

Divide each side by '-50'.
n = -0.66

Simplifying
n = -0.66

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