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Simplifying -5.6(2t + 6) + -1.2(3t + -5) = 0 Reorder the terms: -5.6(6 + 2t) + -1.2(3t + -5) = 0 (6 * -5.6 + 2t * -5.6) + -1.2(3t + -5) = 0 (-33.6 + -11.2t) + -1.2(3t + -5) = 0 Reorder the terms: -33.6 + -11.2t + -1.2(-5 + 3t) = 0 -33.6 + -11.2t + (-5 * -1.2 + 3t * -1.2) = 0 -33.6 + -11.2t + (6 + -3.6t) = 0 Reorder the terms: -33.6 + 6 + -11.2t + -3.6t = 0 Combine like terms: -33.6 + 6 = -27.6 -27.6 + -11.2t + -3.6t = 0 Combine like terms: -11.2t + -3.6t = -14.8t -27.6 + -14.8t = 0 Solving -27.6 + -14.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27.6' to each side of the equation. -27.6 + 27.6 + -14.8t = 0 + 27.6 Combine like terms: -27.6 + 27.6 = 0.0 0.0 + -14.8t = 0 + 27.6 -14.8t = 0 + 27.6 Combine like terms: 0 + 27.6 = 27.6 -14.8t = 27.6 Divide each side by '-14.8'. t = -1.864864865 Simplifying t = -1.864864865
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