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Simplifying -6.6(2t + 5) + -2.5(4t + -6) = 0 Reorder the terms: -6.6(5 + 2t) + -2.5(4t + -6) = 0 (5 * -6.6 + 2t * -6.6) + -2.5(4t + -6) = 0 (-33 + -13.2t) + -2.5(4t + -6) = 0 Reorder the terms: -33 + -13.2t + -2.5(-6 + 4t) = 0 -33 + -13.2t + (-6 * -2.5 + 4t * -2.5) = 0 -33 + -13.2t + (15 + -10t) = 0 Reorder the terms: -33 + 15 + -13.2t + -10t = 0 Combine like terms: -33 + 15 = -18 -18 + -13.2t + -10t = 0 Combine like terms: -13.2t + -10t = -23.2t -18 + -23.2t = 0 Solving -18 + -23.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -23.2t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -23.2t = 0 + 18 -23.2t = 0 + 18 Combine like terms: 0 + 18 = 18 -23.2t = 18 Divide each side by '-23.2'. t = -0.775862069 Simplifying t = -0.775862069
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