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Simplifying -5.5(2t + 5) + -2.3(3t + -6) = 0 Reorder the terms: -5.5(5 + 2t) + -2.3(3t + -6) = 0 (5 * -5.5 + 2t * -5.5) + -2.3(3t + -6) = 0 (-27.5 + -11t) + -2.3(3t + -6) = 0 Reorder the terms: -27.5 + -11t + -2.3(-6 + 3t) = 0 -27.5 + -11t + (-6 * -2.3 + 3t * -2.3) = 0 -27.5 + -11t + (13.8 + -6.9t) = 0 Reorder the terms: -27.5 + 13.8 + -11t + -6.9t = 0 Combine like terms: -27.5 + 13.8 = -13.7 -13.7 + -11t + -6.9t = 0 Combine like terms: -11t + -6.9t = -17.9t -13.7 + -17.9t = 0 Solving -13.7 + -17.9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13.7' to each side of the equation. -13.7 + 13.7 + -17.9t = 0 + 13.7 Combine like terms: -13.7 + 13.7 = 0.0 0.0 + -17.9t = 0 + 13.7 -17.9t = 0 + 13.7 Combine like terms: 0 + 13.7 = 13.7 -17.9t = 13.7 Divide each side by '-17.9'. t = -0.7653631285 Simplifying t = -0.7653631285
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