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Simplifying -8(3z + -5k + 6) = 0 Reorder the terms: -8(6 + -5k + 3z) = 0 (6 * -8 + -5k * -8 + 3z * -8) = 0 (-48 + 40k + -24z) = 0 Solving -48 + 40k + -24z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 40k + 48 + -24z = 0 + 48 Reorder the terms: -48 + 48 + 40k + -24z = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 40k + -24z = 0 + 48 40k + -24z = 0 + 48 Combine like terms: 0 + 48 = 48 40k + -24z = 48 Add '24z' to each side of the equation. 40k + -24z + 24z = 48 + 24z Combine like terms: -24z + 24z = 0 40k + 0 = 48 + 24z 40k = 48 + 24z Divide each side by '40'. k = 1.2 + 0.6z Simplifying k = 1.2 + 0.6z
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