-8(1-8k)+2(3+5k)=-76

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Solution for -8(1-8k)+2(3+5k)=-76 equation: 


Simplifying
-8(1 + -8k) + 2(3 + 5k) = -76
(1 * -8 + -8k * -8) + 2(3 + 5k) = -76
(-8 + 64k) + 2(3 + 5k) = -76
-8 + 64k + (3 * 2 + 5k * 2) = -76
-8 + 64k + (6 + 10k) = -76

Reorder the terms:
-8 + 6 + 64k + 10k = -76

Combine like terms: -8 + 6 = -2
-2 + 64k + 10k = -76

Combine like terms: 64k + 10k = 74k
-2 + 74k = -76

Solving
-2 + 74k = -76

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + 2 + 74k = -76 + 2

Combine like terms: -2 + 2 = 0
0 + 74k = -76 + 2
74k = -76 + 2

Combine like terms: -76 + 2 = -74
74k = -74

Divide each side by '74'.
k = -1

Simplifying
k = -1

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