2+6(8n-7)=3-5n

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Solution for 2+6(8n-7)=3-5n equation:


Simplifying
2 + 6(8n + -7) = 3 + -5n

Reorder the terms:
2 + 6(-7 + 8n) = 3 + -5n
2 + (-7 * 6 + 8n * 6) = 3 + -5n
2 + (-42 + 48n) = 3 + -5n

Combine like terms: 2 + -42 = -40
-40 + 48n = 3 + -5n

Solving
-40 + 48n = 3 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-40 + 48n + 5n = 3 + -5n + 5n

Combine like terms: 48n + 5n = 53n
-40 + 53n = 3 + -5n + 5n

Combine like terms: -5n + 5n = 0
-40 + 53n = 3 + 0
-40 + 53n = 3

Add '40' to each side of the equation.
-40 + 40 + 53n = 3 + 40

Combine like terms: -40 + 40 = 0
0 + 53n = 3 + 40
53n = 3 + 40

Combine like terms: 3 + 40 = 43
53n = 43

Divide each side by '53'.
n = 0.8113207547

Simplifying
n = 0.8113207547

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