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Simplifying -5.9(4t + 6) + -2.3(3t + -5) = 0 Reorder the terms: -5.9(6 + 4t) + -2.3(3t + -5) = 0 (6 * -5.9 + 4t * -5.9) + -2.3(3t + -5) = 0 (-35.4 + -23.6t) + -2.3(3t + -5) = 0 Reorder the terms: -35.4 + -23.6t + -2.3(-5 + 3t) = 0 -35.4 + -23.6t + (-5 * -2.3 + 3t * -2.3) = 0 -35.4 + -23.6t + (11.5 + -6.9t) = 0 Reorder the terms: -35.4 + 11.5 + -23.6t + -6.9t = 0 Combine like terms: -35.4 + 11.5 = -23.9 -23.9 + -23.6t + -6.9t = 0 Combine like terms: -23.6t + -6.9t = -30.5t -23.9 + -30.5t = 0 Solving -23.9 + -30.5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '23.9' to each side of the equation. -23.9 + 23.9 + -30.5t = 0 + 23.9 Combine like terms: -23.9 + 23.9 = 0.0 0.0 + -30.5t = 0 + 23.9 -30.5t = 0 + 23.9 Combine like terms: 0 + 23.9 = 23.9 -30.5t = 23.9 Divide each side by '-30.5'. t = -0.7836065574 Simplifying t = -0.7836065574
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