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Simplifying -6.5(2t + 4) + -1.2(4t + -6) = 0 Reorder the terms: -6.5(4 + 2t) + -1.2(4t + -6) = 0 (4 * -6.5 + 2t * -6.5) + -1.2(4t + -6) = 0 (-26 + -13t) + -1.2(4t + -6) = 0 Reorder the terms: -26 + -13t + -1.2(-6 + 4t) = 0 -26 + -13t + (-6 * -1.2 + 4t * -1.2) = 0 -26 + -13t + (7.2 + -4.8t) = 0 Reorder the terms: -26 + 7.2 + -13t + -4.8t = 0 Combine like terms: -26 + 7.2 = -18.8 -18.8 + -13t + -4.8t = 0 Combine like terms: -13t + -4.8t = -17.8t -18.8 + -17.8t = 0 Solving -18.8 + -17.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18.8' to each side of the equation. -18.8 + 18.8 + -17.8t = 0 + 18.8 Combine like terms: -18.8 + 18.8 = 0.0 0.0 + -17.8t = 0 + 18.8 -17.8t = 0 + 18.8 Combine like terms: 0 + 18.8 = 18.8 -17.8t = 18.8 Divide each side by '-17.8'. t = -1.056179775 Simplifying t = -1.056179775
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