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Simplifying 4t + -5(10 + 8t) = 0 4t + (10 * -5 + 8t * -5) = 0 4t + (-50 + -40t) = 0 Reorder the terms: -50 + 4t + -40t = 0 Combine like terms: 4t + -40t = -36t -50 + -36t = 0 Solving -50 + -36t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -36t = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -36t = 0 + 50 -36t = 0 + 50 Combine like terms: 0 + 50 = 50 -36t = 50 Divide each side by '-36'. t = -1.388888889 Simplifying t = -1.388888889
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