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Simplifying 60(t + -1.5) = 40t Reorder the terms: 60(-1.5 + t) = 40t (-1.5 * 60 + t * 60) = 40t (-90 + 60t) = 40t Solving -90 + 60t = 40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40t' to each side of the equation. -90 + 60t + -40t = 40t + -40t Combine like terms: 60t + -40t = 20t -90 + 20t = 40t + -40t Combine like terms: 40t + -40t = 0 -90 + 20t = 0 Add '90' to each side of the equation. -90 + 90 + 20t = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 20t = 0 + 90 20t = 0 + 90 Combine like terms: 0 + 90 = 90 20t = 90 Divide each side by '20'. t = 4.5 Simplifying t = 4.5
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