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Simplifying -6.8(3t + 5) + -2.2(4t + -6) = 0 Reorder the terms: -6.8(5 + 3t) + -2.2(4t + -6) = 0 (5 * -6.8 + 3t * -6.8) + -2.2(4t + -6) = 0 (-34 + -20.4t) + -2.2(4t + -6) = 0 Reorder the terms: -34 + -20.4t + -2.2(-6 + 4t) = 0 -34 + -20.4t + (-6 * -2.2 + 4t * -2.2) = 0 -34 + -20.4t + (13.2 + -8.8t) = 0 Reorder the terms: -34 + 13.2 + -20.4t + -8.8t = 0 Combine like terms: -34 + 13.2 = -20.8 -20.8 + -20.4t + -8.8t = 0 Combine like terms: -20.4t + -8.8t = -29.2t -20.8 + -29.2t = 0 Solving -20.8 + -29.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20.8' to each side of the equation. -20.8 + 20.8 + -29.2t = 0 + 20.8 Combine like terms: -20.8 + 20.8 = 0.0 0.0 + -29.2t = 0 + 20.8 -29.2t = 0 + 20.8 Combine like terms: 0 + 20.8 = 20.8 -29.2t = 20.8 Divide each side by '-29.2'. t = -0.7123287671 Simplifying t = -0.7123287671
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