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Simplifying -5.7(4t + 6) + -2.7(3t + -5) = 0 Reorder the terms: -5.7(6 + 4t) + -2.7(3t + -5) = 0 (6 * -5.7 + 4t * -5.7) + -2.7(3t + -5) = 0 (-34.2 + -22.8t) + -2.7(3t + -5) = 0 Reorder the terms: -34.2 + -22.8t + -2.7(-5 + 3t) = 0 -34.2 + -22.8t + (-5 * -2.7 + 3t * -2.7) = 0 -34.2 + -22.8t + (13.5 + -8.1t) = 0 Reorder the terms: -34.2 + 13.5 + -22.8t + -8.1t = 0 Combine like terms: -34.2 + 13.5 = -20.7 -20.7 + -22.8t + -8.1t = 0 Combine like terms: -22.8t + -8.1t = -30.9t -20.7 + -30.9t = 0 Solving -20.7 + -30.9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20.7' to each side of the equation. -20.7 + 20.7 + -30.9t = 0 + 20.7 Combine like terms: -20.7 + 20.7 = 0.0 0.0 + -30.9t = 0 + 20.7 -30.9t = 0 + 20.7 Combine like terms: 0 + 20.7 = 20.7 -30.9t = 20.7 Divide each side by '-30.9'. t = -0.6699029126 Simplifying t = -0.6699029126
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