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Simplifying -5(4t + -5 + 8k) = 0 Reorder the terms: -5(-5 + 8k + 4t) = 0 (-5 * -5 + 8k * -5 + 4t * -5) = 0 (25 + -40k + -20t) = 0 Solving 25 + -40k + -20t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -40k + -25 + -20t = 0 + -25 Reorder the terms: 25 + -25 + -40k + -20t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -40k + -20t = 0 + -25 -40k + -20t = 0 + -25 Combine like terms: 0 + -25 = -25 -40k + -20t = -25 Add '20t' to each side of the equation. -40k + -20t + 20t = -25 + 20t Combine like terms: -20t + 20t = 0 -40k + 0 = -25 + 20t -40k = -25 + 20t Divide each side by '-40'. k = 0.625 + -0.5t Simplifying k = 0.625 + -0.5t
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