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Simplifying -5.7(4t + 6) + -2.3(3t + -5) = 0 Reorder the terms: -5.7(6 + 4t) + -2.3(3t + -5) = 0 (6 * -5.7 + 4t * -5.7) + -2.3(3t + -5) = 0 (-34.2 + -22.8t) + -2.3(3t + -5) = 0 Reorder the terms: -34.2 + -22.8t + -2.3(-5 + 3t) = 0 -34.2 + -22.8t + (-5 * -2.3 + 3t * -2.3) = 0 -34.2 + -22.8t + (11.5 + -6.9t) = 0 Reorder the terms: -34.2 + 11.5 + -22.8t + -6.9t = 0 Combine like terms: -34.2 + 11.5 = -22.7 -22.7 + -22.8t + -6.9t = 0 Combine like terms: -22.8t + -6.9t = -29.7t -22.7 + -29.7t = 0 Solving -22.7 + -29.7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22.7' to each side of the equation. -22.7 + 22.7 + -29.7t = 0 + 22.7 Combine like terms: -22.7 + 22.7 = 0.0 0.0 + -29.7t = 0 + 22.7 -29.7t = 0 + 22.7 Combine like terms: 0 + 22.7 = 22.7 -29.7t = 22.7 Divide each side by '-29.7'. t = -0.7643097643 Simplifying t = -0.7643097643
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