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Simplifying -6.8(3t + 5) + -1.1(2t + -6) = 0 Reorder the terms: -6.8(5 + 3t) + -1.1(2t + -6) = 0 (5 * -6.8 + 3t * -6.8) + -1.1(2t + -6) = 0 (-34 + -20.4t) + -1.1(2t + -6) = 0 Reorder the terms: -34 + -20.4t + -1.1(-6 + 2t) = 0 -34 + -20.4t + (-6 * -1.1 + 2t * -1.1) = 0 -34 + -20.4t + (6.6 + -2.2t) = 0 Reorder the terms: -34 + 6.6 + -20.4t + -2.2t = 0 Combine like terms: -34 + 6.6 = -27.4 -27.4 + -20.4t + -2.2t = 0 Combine like terms: -20.4t + -2.2t = -22.6t -27.4 + -22.6t = 0 Solving -27.4 + -22.6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27.4' to each side of the equation. -27.4 + 27.4 + -22.6t = 0 + 27.4 Combine like terms: -27.4 + 27.4 = 0.0 0.0 + -22.6t = 0 + 27.4 -22.6t = 0 + 27.4 Combine like terms: 0 + 27.4 = 27.4 -22.6t = 27.4 Divide each side by '-22.6'. t = -1.212389381 Simplifying t = -1.212389381
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