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Simplifying -0.05(2t + -3) = 0.5(9 + -4t) Reorder the terms: -0.05(-3 + 2t) = 0.5(9 + -4t) (-3 * -0.05 + 2t * -0.05) = 0.5(9 + -4t) (0.15 + -0.1t) = 0.5(9 + -4t) 0.15 + -0.1t = (9 * 0.5 + -4t * 0.5) 0.15 + -0.1t = (4.5 + -2t) Solving 0.15 + -0.1t = 4.5 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 0.15 + -0.1t + 2t = 4.5 + -2t + 2t Combine like terms: -0.1t + 2t = 1.9t 0.15 + 1.9t = 4.5 + -2t + 2t Combine like terms: -2t + 2t = 0 0.15 + 1.9t = 4.5 + 0 0.15 + 1.9t = 4.5 Add '-0.15' to each side of the equation. 0.15 + -0.15 + 1.9t = 4.5 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 1.9t = 4.5 + -0.15 1.9t = 4.5 + -0.15 Combine like terms: 4.5 + -0.15 = 4.35 1.9t = 4.35 Divide each side by '1.9'. t = 2.289473684 Simplifying t = 2.289473684
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