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Simplifying -6.9(3t + 5) + -1.6(2t + -4) = 0 Reorder the terms: -6.9(5 + 3t) + -1.6(2t + -4) = 0 (5 * -6.9 + 3t * -6.9) + -1.6(2t + -4) = 0 (-34.5 + -20.7t) + -1.6(2t + -4) = 0 Reorder the terms: -34.5 + -20.7t + -1.6(-4 + 2t) = 0 -34.5 + -20.7t + (-4 * -1.6 + 2t * -1.6) = 0 -34.5 + -20.7t + (6.4 + -3.2t) = 0 Reorder the terms: -34.5 + 6.4 + -20.7t + -3.2t = 0 Combine like terms: -34.5 + 6.4 = -28.1 -28.1 + -20.7t + -3.2t = 0 Combine like terms: -20.7t + -3.2t = -23.9t -28.1 + -23.9t = 0 Solving -28.1 + -23.9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28.1' to each side of the equation. -28.1 + 28.1 + -23.9t = 0 + 28.1 Combine like terms: -28.1 + 28.1 = 0.0 0.0 + -23.9t = 0 + 28.1 -23.9t = 0 + 28.1 Combine like terms: 0 + 28.1 = 28.1 -23.9t = 28.1 Divide each side by '-23.9'. t = -1.175732218 Simplifying t = -1.175732218
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