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Simplifying -5.7(3t + 5) + -1.5(2t + -6) = 0 Reorder the terms: -5.7(5 + 3t) + -1.5(2t + -6) = 0 (5 * -5.7 + 3t * -5.7) + -1.5(2t + -6) = 0 (-28.5 + -17.1t) + -1.5(2t + -6) = 0 Reorder the terms: -28.5 + -17.1t + -1.5(-6 + 2t) = 0 -28.5 + -17.1t + (-6 * -1.5 + 2t * -1.5) = 0 -28.5 + -17.1t + (9 + -3t) = 0 Reorder the terms: -28.5 + 9 + -17.1t + -3t = 0 Combine like terms: -28.5 + 9 = -19.5 -19.5 + -17.1t + -3t = 0 Combine like terms: -17.1t + -3t = -20.1t -19.5 + -20.1t = 0 Solving -19.5 + -20.1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19.5' to each side of the equation. -19.5 + 19.5 + -20.1t = 0 + 19.5 Combine like terms: -19.5 + 19.5 = 0.0 0.0 + -20.1t = 0 + 19.5 -20.1t = 0 + 19.5 Combine like terms: 0 + 19.5 = 19.5 -20.1t = 19.5 Divide each side by '-20.1'. t = -0.9701492537 Simplifying t = -0.9701492537
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