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Simplifying -5.4(2t + 5) + -1.6(4t + -6) = 0 Reorder the terms: -5.4(5 + 2t) + -1.6(4t + -6) = 0 (5 * -5.4 + 2t * -5.4) + -1.6(4t + -6) = 0 (-27 + -10.8t) + -1.6(4t + -6) = 0 Reorder the terms: -27 + -10.8t + -1.6(-6 + 4t) = 0 -27 + -10.8t + (-6 * -1.6 + 4t * -1.6) = 0 -27 + -10.8t + (9.6 + -6.4t) = 0 Reorder the terms: -27 + 9.6 + -10.8t + -6.4t = 0 Combine like terms: -27 + 9.6 = -17.4 -17.4 + -10.8t + -6.4t = 0 Combine like terms: -10.8t + -6.4t = -17.2t -17.4 + -17.2t = 0 Solving -17.4 + -17.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17.4' to each side of the equation. -17.4 + 17.4 + -17.2t = 0 + 17.4 Combine like terms: -17.4 + 17.4 = 0.0 0.0 + -17.2t = 0 + 17.4 -17.2t = 0 + 17.4 Combine like terms: 0 + 17.4 = 17.4 -17.2t = 17.4 Divide each side by '-17.2'. t = -1.011627907 Simplifying t = -1.011627907
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