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

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


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

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

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

Combine like terms: -32 + -21 = -53
-53 + 4n + 56n = -41

Combine like terms: 4n + 56n = 60n
-53 + 60n = -41

Solving
-53 + 60n = -41

Solving for variable 'n'.

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

Add '53' to each side of the equation.
-53 + 53 + 60n = -41 + 53

Combine like terms: -53 + 53 = 0
0 + 60n = -41 + 53
60n = -41 + 53

Combine like terms: -41 + 53 = 12
60n = 12

Divide each side by '60'.
n = 0.2

Simplifying
n = 0.2

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