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Simplifying -5.6(4t + 6) + -1.5(3t + -5) = 0 Reorder the terms: -5.6(6 + 4t) + -1.5(3t + -5) = 0 (6 * -5.6 + 4t * -5.6) + -1.5(3t + -5) = 0 (-33.6 + -22.4t) + -1.5(3t + -5) = 0 Reorder the terms: -33.6 + -22.4t + -1.5(-5 + 3t) = 0 -33.6 + -22.4t + (-5 * -1.5 + 3t * -1.5) = 0 -33.6 + -22.4t + (7.5 + -4.5t) = 0 Reorder the terms: -33.6 + 7.5 + -22.4t + -4.5t = 0 Combine like terms: -33.6 + 7.5 = -26.1 -26.1 + -22.4t + -4.5t = 0 Combine like terms: -22.4t + -4.5t = -26.9t -26.1 + -26.9t = 0 Solving -26.1 + -26.9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26.1' to each side of the equation. -26.1 + 26.1 + -26.9t = 0 + 26.1 Combine like terms: -26.1 + 26.1 = 0.0 0.0 + -26.9t = 0 + 26.1 -26.9t = 0 + 26.1 Combine like terms: 0 + 26.1 = 26.1 -26.9t = 26.1 Divide each side by '-26.9'. t = -0.970260223 Simplifying t = -0.970260223
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