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Simplifying -5.7(4t + 6) + -1.8(3t + -5) = 0 Reorder the terms: -5.7(6 + 4t) + -1.8(3t + -5) = 0 (6 * -5.7 + 4t * -5.7) + -1.8(3t + -5) = 0 (-34.2 + -22.8t) + -1.8(3t + -5) = 0 Reorder the terms: -34.2 + -22.8t + -1.8(-5 + 3t) = 0 -34.2 + -22.8t + (-5 * -1.8 + 3t * -1.8) = 0 -34.2 + -22.8t + (9 + -5.4t) = 0 Reorder the terms: -34.2 + 9 + -22.8t + -5.4t = 0 Combine like terms: -34.2 + 9 = -25.2 -25.2 + -22.8t + -5.4t = 0 Combine like terms: -22.8t + -5.4t = -28.2t -25.2 + -28.2t = 0 Solving -25.2 + -28.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25.2' to each side of the equation. -25.2 + 25.2 + -28.2t = 0 + 25.2 Combine like terms: -25.2 + 25.2 = 0.0 0.0 + -28.2t = 0 + 25.2 -28.2t = 0 + 25.2 Combine like terms: 0 + 25.2 = 25.2 -28.2t = 25.2 Divide each side by '-28.2'. t = -0.8936170213 Simplifying t = -0.8936170213
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