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Simplifying -5.7(4t + 6) + -2.5(2t + -5) = 0 Reorder the terms: -5.7(6 + 4t) + -2.5(2t + -5) = 0 (6 * -5.7 + 4t * -5.7) + -2.5(2t + -5) = 0 (-34.2 + -22.8t) + -2.5(2t + -5) = 0 Reorder the terms: -34.2 + -22.8t + -2.5(-5 + 2t) = 0 -34.2 + -22.8t + (-5 * -2.5 + 2t * -2.5) = 0 -34.2 + -22.8t + (12.5 + -5t) = 0 Reorder the terms: -34.2 + 12.5 + -22.8t + -5t = 0 Combine like terms: -34.2 + 12.5 = -21.7 -21.7 + -22.8t + -5t = 0 Combine like terms: -22.8t + -5t = -27.8t -21.7 + -27.8t = 0 Solving -21.7 + -27.8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21.7' to each side of the equation. -21.7 + 21.7 + -27.8t = 0 + 21.7 Combine like terms: -21.7 + 21.7 = 0.0 0.0 + -27.8t = 0 + 21.7 -27.8t = 0 + 21.7 Combine like terms: 0 + 21.7 = 21.7 -27.8t = 21.7 Divide each side by '-27.8'. t = -0.7805755396 Simplifying t = -0.7805755396
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