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Simplifying -5.4(2t + 6) + -1.8(3t + -5) = 0 Reorder the terms: -5.4(6 + 2t) + -1.8(3t + -5) = 0 (6 * -5.4 + 2t * -5.4) + -1.8(3t + -5) = 0 (-32.4 + -10.8t) + -1.8(3t + -5) = 0 Reorder the terms: -32.4 + -10.8t + -1.8(-5 + 3t) = 0 -32.4 + -10.8t + (-5 * -1.8 + 3t * -1.8) = 0 -32.4 + -10.8t + (9 + -5.4t) = 0 Reorder the terms: -32.4 + 9 + -10.8t + -5.4t = 0 Combine like terms: -32.4 + 9 = -23.4 -23.4 + -10.8t + -5.4t = 0 Combine like terms: -10.8t + -5.4t = -16.2t -23.4 + -16.2t = 0 Solving -23.4 + -16.2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '23.4' to each side of the equation. -23.4 + 23.4 + -16.2t = 0 + 23.4 Combine like terms: -23.4 + 23.4 = 0.0 0.0 + -16.2t = 0 + 23.4 -16.2t = 0 + 23.4 Combine like terms: 0 + 23.4 = 23.4 -16.2t = 23.4 Divide each side by '-16.2'. t = -1.444444444 Simplifying t = -1.444444444
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