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Simplifying -6.3(4t + 6) + -1.6(3t + -5) = 0 Reorder the terms: -6.3(6 + 4t) + -1.6(3t + -5) = 0 (6 * -6.3 + 4t * -6.3) + -1.6(3t + -5) = 0 (-37.8 + -25.2t) + -1.6(3t + -5) = 0 Reorder the terms: -37.8 + -25.2t + -1.6(-5 + 3t) = 0 -37.8 + -25.2t + (-5 * -1.6 + 3t * -1.6) = 0 -37.8 + -25.2t + (8 + -4.8t) = 0 Reorder the terms: -37.8 + 8 + -25.2t + -4.8t = 0 Combine like terms: -37.8 + 8 = -29.8 -29.8 + -25.2t + -4.8t = 0 Combine like terms: -25.2t + -4.8t = -30t -29.8 + -30t = 0 Solving -29.8 + -30t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29.8' to each side of the equation. -29.8 + 29.8 + -30t = 0 + 29.8 Combine like terms: -29.8 + 29.8 = 0.0 0.0 + -30t = 0 + 29.8 -30t = 0 + 29.8 Combine like terms: 0 + 29.8 = 29.8 -30t = 29.8 Divide each side by '-30'. t = -0.9933333333 Simplifying t = -0.9933333333
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