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Simplifying 5(16.5 + 3t) = 3(0.9 + -1t) (16.5 * 5 + 3t * 5) = 3(0.9 + -1t) (82.5 + 15t) = 3(0.9 + -1t) 82.5 + 15t = (0.9 * 3 + -1t * 3) 82.5 + 15t = (2.7 + -3t) Solving 82.5 + 15t = 2.7 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 82.5 + 15t + 3t = 2.7 + -3t + 3t Combine like terms: 15t + 3t = 18t 82.5 + 18t = 2.7 + -3t + 3t Combine like terms: -3t + 3t = 0 82.5 + 18t = 2.7 + 0 82.5 + 18t = 2.7 Add '-82.5' to each side of the equation. 82.5 + -82.5 + 18t = 2.7 + -82.5 Combine like terms: 82.5 + -82.5 = 0.0 0.0 + 18t = 2.7 + -82.5 18t = 2.7 + -82.5 Combine like terms: 2.7 + -82.5 = -79.8 18t = -79.8 Divide each side by '18'. t = -4.433333333 Simplifying t = -4.433333333
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