8(n-5)-6(5n-1)=76

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Solution for 8(n-5)-6(5n-1)=76 equation:


Simplifying
8(n + -5) + -6(5n + -1) = 76

Reorder the terms:
8(-5 + n) + -6(5n + -1) = 76
(-5 * 8 + n * 8) + -6(5n + -1) = 76
(-40 + 8n) + -6(5n + -1) = 76

Reorder the terms:
-40 + 8n + -6(-1 + 5n) = 76
-40 + 8n + (-1 * -6 + 5n * -6) = 76
-40 + 8n + (6 + -30n) = 76

Reorder the terms:
-40 + 6 + 8n + -30n = 76

Combine like terms: -40 + 6 = -34
-34 + 8n + -30n = 76

Combine like terms: 8n + -30n = -22n
-34 + -22n = 76

Solving
-34 + -22n = 76

Solving for variable 'n'.

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

Add '34' to each side of the equation.
-34 + 34 + -22n = 76 + 34

Combine like terms: -34 + 34 = 0
0 + -22n = 76 + 34
-22n = 76 + 34

Combine like terms: 76 + 34 = 110
-22n = 110

Divide each side by '-22'.
n = -5

Simplifying
n = -5

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