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Simplifying -6.6(3t + 5) + -1.5(4t + -6) = 0 Reorder the terms: -6.6(5 + 3t) + -1.5(4t + -6) = 0 (5 * -6.6 + 3t * -6.6) + -1.5(4t + -6) = 0 (-33 + -19.8t) + -1.5(4t + -6) = 0 Reorder the terms: -33 + -19.8t + -1.5(-6 + 4t) = 0 -33 + -19.8t + (-6 * -1.5 + 4t * -1.5) = 0 -33 + -19.8t + (9 + -6t) = 0 Reorder the terms: -33 + 9 + -19.8t + -6t = 0 Combine like terms: -33 + 9 = -24 -24 + -19.8t + -6t = 0 Combine like terms: -19.8t + -6t = -25.8t -24 + -25.8t = 0 Solving -24 + -25.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -25.8t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -25.8t = 0 + 24 -25.8t = 0 + 24 Combine like terms: 0 + 24 = 24 -25.8t = 24 Divide each side by '-25.8'. t = -0.9302325581 Simplifying t = -0.9302325581
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