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Simplifying -5(16.5 + 32) = 3(0.9 + -1t) Combine like terms: 16.5 + 32 = 48.5 -5(48.5) = 3(0.9 + -1t) Multiply -5 * 48.5 -242.5 = 3(0.9 + -1t) -242.5 = (0.9 * 3 + -1t * 3) -242.5 = (2.7 + -3t) Solving -242.5 = 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. -242.5 + 3t = 2.7 + -3t + 3t Combine like terms: -3t + 3t = 0 -242.5 + 3t = 2.7 + 0 -242.5 + 3t = 2.7 Add '242.5' to each side of the equation. -242.5 + 242.5 + 3t = 2.7 + 242.5 Combine like terms: -242.5 + 242.5 = 0.0 0.0 + 3t = 2.7 + 242.5 3t = 2.7 + 242.5 Combine like terms: 2.7 + 242.5 = 245.2 3t = 245.2 Divide each side by '3'. t = 81.73333333 Simplifying t = 81.73333333
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