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Simplifying -5.7(4t + 6) + -2.3(2t + -4) = 0 Reorder the terms: -5.7(6 + 4t) + -2.3(2t + -4) = 0 (6 * -5.7 + 4t * -5.7) + -2.3(2t + -4) = 0 (-34.2 + -22.8t) + -2.3(2t + -4) = 0 Reorder the terms: -34.2 + -22.8t + -2.3(-4 + 2t) = 0 -34.2 + -22.8t + (-4 * -2.3 + 2t * -2.3) = 0 -34.2 + -22.8t + (9.2 + -4.6t) = 0 Reorder the terms: -34.2 + 9.2 + -22.8t + -4.6t = 0 Combine like terms: -34.2 + 9.2 = -25 -25 + -22.8t + -4.6t = 0 Combine like terms: -22.8t + -4.6t = -27.4t -25 + -27.4t = 0 Solving -25 + -27.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -27.4t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -27.4t = 0 + 25 -27.4t = 0 + 25 Combine like terms: 0 + 25 = 25 -27.4t = 25 Divide each side by '-27.4'. t = -0.9124087591 Simplifying t = -0.9124087591
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