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Simplifying -10(-4t + -4 + 9k) = 0 Reorder the terms: -10(-4 + 9k + -4t) = 0 (-4 * -10 + 9k * -10 + -4t * -10) = 0 (40 + -90k + 40t) = 0 Solving 40 + -90k + 40t = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -90k + -40 + 40t = 0 + -40 Reorder the terms: 40 + -40 + -90k + 40t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -90k + 40t = 0 + -40 -90k + 40t = 0 + -40 Combine like terms: 0 + -40 = -40 -90k + 40t = -40 Add '-40t' to each side of the equation. -90k + 40t + -40t = -40 + -40t Combine like terms: 40t + -40t = 0 -90k + 0 = -40 + -40t -90k = -40 + -40t Divide each side by '-90'. k = 0.4444444444 + 0.4444444444t Simplifying k = 0.4444444444 + 0.4444444444t
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