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Simplifying -6.4(4t + 6) + -1.8(3t + -5) = 0 Reorder the terms: -6.4(6 + 4t) + -1.8(3t + -5) = 0 (6 * -6.4 + 4t * -6.4) + -1.8(3t + -5) = 0 (-38.4 + -25.6t) + -1.8(3t + -5) = 0 Reorder the terms: -38.4 + -25.6t + -1.8(-5 + 3t) = 0 -38.4 + -25.6t + (-5 * -1.8 + 3t * -1.8) = 0 -38.4 + -25.6t + (9 + -5.4t) = 0 Reorder the terms: -38.4 + 9 + -25.6t + -5.4t = 0 Combine like terms: -38.4 + 9 = -29.4 -29.4 + -25.6t + -5.4t = 0 Combine like terms: -25.6t + -5.4t = -31t -29.4 + -31t = 0 Solving -29.4 + -31t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29.4' to each side of the equation. -29.4 + 29.4 + -31t = 0 + 29.4 Combine like terms: -29.4 + 29.4 = 0.0 0.0 + -31t = 0 + 29.4 -31t = 0 + 29.4 Combine like terms: 0 + 29.4 = 29.4 -31t = 29.4 Divide each side by '-31'. t = -0.9483870968 Simplifying t = -0.9483870968
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