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Simplifying -5.5(2t + 5) + -1.2(4t + -6) = 0 Reorder the terms: -5.5(5 + 2t) + -1.2(4t + -6) = 0 (5 * -5.5 + 2t * -5.5) + -1.2(4t + -6) = 0 (-27.5 + -11t) + -1.2(4t + -6) = 0 Reorder the terms: -27.5 + -11t + -1.2(-6 + 4t) = 0 -27.5 + -11t + (-6 * -1.2 + 4t * -1.2) = 0 -27.5 + -11t + (7.2 + -4.8t) = 0 Reorder the terms: -27.5 + 7.2 + -11t + -4.8t = 0 Combine like terms: -27.5 + 7.2 = -20.3 -20.3 + -11t + -4.8t = 0 Combine like terms: -11t + -4.8t = -15.8t -20.3 + -15.8t = 0 Solving -20.3 + -15.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20.3' to each side of the equation. -20.3 + 20.3 + -15.8t = 0 + 20.3 Combine like terms: -20.3 + 20.3 = 0.0 0.0 + -15.8t = 0 + 20.3 -15.8t = 0 + 20.3 Combine like terms: 0 + 20.3 = 20.3 -15.8t = 20.3 Divide each side by '-15.8'. t = -1.284810127 Simplifying t = -1.284810127
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