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Simplifying -6.2(4t + 6) + -2.9(3t + -5) = 0 Reorder the terms: -6.2(6 + 4t) + -2.9(3t + -5) = 0 (6 * -6.2 + 4t * -6.2) + -2.9(3t + -5) = 0 (-37.2 + -24.8t) + -2.9(3t + -5) = 0 Reorder the terms: -37.2 + -24.8t + -2.9(-5 + 3t) = 0 -37.2 + -24.8t + (-5 * -2.9 + 3t * -2.9) = 0 -37.2 + -24.8t + (14.5 + -8.7t) = 0 Reorder the terms: -37.2 + 14.5 + -24.8t + -8.7t = 0 Combine like terms: -37.2 + 14.5 = -22.7 -22.7 + -24.8t + -8.7t = 0 Combine like terms: -24.8t + -8.7t = -33.5t -22.7 + -33.5t = 0 Solving -22.7 + -33.5t = 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 + -33.5t = 0 + 22.7 Combine like terms: -22.7 + 22.7 = 0.0 0.0 + -33.5t = 0 + 22.7 -33.5t = 0 + 22.7 Combine like terms: 0 + 22.7 = 22.7 -33.5t = 22.7 Divide each side by '-33.5'. t = -0.6776119403 Simplifying t = -0.6776119403
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