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Simplifying -5.5(2t + 4) + -2.7(3t + -5) = 0 Reorder the terms: -5.5(4 + 2t) + -2.7(3t + -5) = 0 (4 * -5.5 + 2t * -5.5) + -2.7(3t + -5) = 0 (-22 + -11t) + -2.7(3t + -5) = 0 Reorder the terms: -22 + -11t + -2.7(-5 + 3t) = 0 -22 + -11t + (-5 * -2.7 + 3t * -2.7) = 0 -22 + -11t + (13.5 + -8.1t) = 0 Reorder the terms: -22 + 13.5 + -11t + -8.1t = 0 Combine like terms: -22 + 13.5 = -8.5 -8.5 + -11t + -8.1t = 0 Combine like terms: -11t + -8.1t = -19.1t -8.5 + -19.1t = 0 Solving -8.5 + -19.1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8.5' to each side of the equation. -8.5 + 8.5 + -19.1t = 0 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -19.1t = 0 + 8.5 -19.1t = 0 + 8.5 Combine like terms: 0 + 8.5 = 8.5 -19.1t = 8.5 Divide each side by '-19.1'. t = -0.445026178 Simplifying t = -0.445026178
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