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Simplifying 5(6t + -81) = -3(15 + 5t) Reorder the terms: 5(-81 + 6t) = -3(15 + 5t) (-81 * 5 + 6t * 5) = -3(15 + 5t) (-405 + 30t) = -3(15 + 5t) -405 + 30t = (15 * -3 + 5t * -3) -405 + 30t = (-45 + -15t) Solving -405 + 30t = -45 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. -405 + 30t + 15t = -45 + -15t + 15t Combine like terms: 30t + 15t = 45t -405 + 45t = -45 + -15t + 15t Combine like terms: -15t + 15t = 0 -405 + 45t = -45 + 0 -405 + 45t = -45 Add '405' to each side of the equation. -405 + 405 + 45t = -45 + 405 Combine like terms: -405 + 405 = 0 0 + 45t = -45 + 405 45t = -45 + 405 Combine like terms: -45 + 405 = 360 45t = 360 Divide each side by '45'. t = 8 Simplifying t = 8
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