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Simplifying -5.9(2t + 4) + -1.4(3t + -5) = 0 Reorder the terms: -5.9(4 + 2t) + -1.4(3t + -5) = 0 (4 * -5.9 + 2t * -5.9) + -1.4(3t + -5) = 0 (-23.6 + -11.8t) + -1.4(3t + -5) = 0 Reorder the terms: -23.6 + -11.8t + -1.4(-5 + 3t) = 0 -23.6 + -11.8t + (-5 * -1.4 + 3t * -1.4) = 0 -23.6 + -11.8t + (7 + -4.2t) = 0 Reorder the terms: -23.6 + 7 + -11.8t + -4.2t = 0 Combine like terms: -23.6 + 7 = -16.6 -16.6 + -11.8t + -4.2t = 0 Combine like terms: -11.8t + -4.2t = -16t -16.6 + -16t = 0 Solving -16.6 + -16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16.6' to each side of the equation. -16.6 + 16.6 + -16t = 0 + 16.6 Combine like terms: -16.6 + 16.6 = 0.0 0.0 + -16t = 0 + 16.6 -16t = 0 + 16.6 Combine like terms: 0 + 16.6 = 16.6 -16t = 16.6 Divide each side by '-16'. t = -1.0375 Simplifying t = -1.0375
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