2-4(n-8)+-7(3-8n)=-41

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Solution for 2-4(n-8)+-7(3-8n)=-41 equation: 


Simplifying
2 + -4(n + -8) + -7(3 + -8n) = -41

Reorder the terms:
2 + -4(-8 + n) + -7(3 + -8n) = -41
2 + (-8 * -4 + n * -4) + -7(3 + -8n) = -41
2 + (32 + -4n) + -7(3 + -8n) = -41
2 + 32 + -4n + (3 * -7 + -8n * -7) = -41
2 + 32 + -4n + (-21 + 56n) = -41

Reorder the terms:
2 + 32 + -21 + -4n + 56n = -41

Combine like terms: 2 + 32 = 34
34 + -21 + -4n + 56n = -41

Combine like terms: 34 + -21 = 13
13 + -4n + 56n = -41

Combine like terms: -4n + 56n = 52n
13 + 52n = -41

Solving
13 + 52n = -41

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + 52n = -41 + -13

Combine like terms: 13 + -13 = 0
0 + 52n = -41 + -13
52n = -41 + -13

Combine like terms: -41 + -13 = -54
52n = -54

Divide each side by '52'.
n = -1.038461538

Simplifying
n = -1.038461538

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