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

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


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

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

Reorder the terms:
56 + -8n + 3(-3 + n) = 41
56 + -8n + (-3 * 3 + n * 3) = 41
56 + -8n + (-9 + 3n) = 41

Reorder the terms:
56 + -9 + -8n + 3n = 41

Combine like terms: 56 + -9 = 47
47 + -8n + 3n = 41

Combine like terms: -8n + 3n = -5n
47 + -5n = 41

Solving
47 + -5n = 41

Solving for variable 'n'.

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

Add '-47' to each side of the equation.
47 + -47 + -5n = 41 + -47

Combine like terms: 47 + -47 = 0
0 + -5n = 41 + -47
-5n = 41 + -47

Combine like terms: 41 + -47 = -6
-5n = -6

Divide each side by '-5'.
n = 1.2

Simplifying
n = 1.2

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