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Simplifying -5.5(4t + 6) + -1.6(2t + -5) = 0 Reorder the terms: -5.5(6 + 4t) + -1.6(2t + -5) = 0 (6 * -5.5 + 4t * -5.5) + -1.6(2t + -5) = 0 (-33 + -22t) + -1.6(2t + -5) = 0 Reorder the terms: -33 + -22t + -1.6(-5 + 2t) = 0 -33 + -22t + (-5 * -1.6 + 2t * -1.6) = 0 -33 + -22t + (8 + -3.2t) = 0 Reorder the terms: -33 + 8 + -22t + -3.2t = 0 Combine like terms: -33 + 8 = -25 -25 + -22t + -3.2t = 0 Combine like terms: -22t + -3.2t = -25.2t -25 + -25.2t = 0 Solving -25 + -25.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -25.2t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -25.2t = 0 + 25 -25.2t = 0 + 25 Combine like terms: 0 + 25 = 25 -25.2t = 25 Divide each side by '-25.2'. t = -0.9920634921 Simplifying t = -0.9920634921
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