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Simplifying 5(6t + -81) = -3(15 + 5) Reorder the terms: 5(-81 + 6t) = -3(15 + 5) (-81 * 5 + 6t * 5) = -3(15 + 5) (-405 + 30t) = -3(15 + 5) Combine like terms: 15 + 5 = 20 -405 + 30t = -3(20) Multiply -3 * 20 -405 + 30t = -60 Solving -405 + 30t = -60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '405' to each side of the equation. -405 + 405 + 30t = -60 + 405 Combine like terms: -405 + 405 = 0 0 + 30t = -60 + 405 30t = -60 + 405 Combine like terms: -60 + 405 = 345 30t = 345 Divide each side by '30'. t = 11.5 Simplifying t = 11.5
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