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Simplifying -5.5(4t + 6) + -2.7(2t + -5) = 0 Reorder the terms: -5.5(6 + 4t) + -2.7(2t + -5) = 0 (6 * -5.5 + 4t * -5.5) + -2.7(2t + -5) = 0 (-33 + -22t) + -2.7(2t + -5) = 0 Reorder the terms: -33 + -22t + -2.7(-5 + 2t) = 0 -33 + -22t + (-5 * -2.7 + 2t * -2.7) = 0 -33 + -22t + (13.5 + -5.4t) = 0 Reorder the terms: -33 + 13.5 + -22t + -5.4t = 0 Combine like terms: -33 + 13.5 = -19.5 -19.5 + -22t + -5.4t = 0 Combine like terms: -22t + -5.4t = -27.4t -19.5 + -27.4t = 0 Solving -19.5 + -27.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '19.5' to each side of the equation. -19.5 + 19.5 + -27.4t = 0 + 19.5 Combine like terms: -19.5 + 19.5 = 0.0 0.0 + -27.4t = 0 + 19.5 -27.4t = 0 + 19.5 Combine like terms: 0 + 19.5 = 19.5 -27.4t = 19.5 Divide each side by '-27.4'. t = -0.7116788321 Simplifying t = -0.7116788321
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