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Simplifying 0.8(24 + t) = 4t + 8 (24 * 0.8 + t * 0.8) = 4t + 8 (19.2 + 0.8t) = 4t + 8 Reorder the terms: 19.2 + 0.8t = 8 + 4t Solving 19.2 + 0.8t = 8 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 19.2 + 0.8t + -4t = 8 + 4t + -4t Combine like terms: 0.8t + -4t = -3.2t 19.2 + -3.2t = 8 + 4t + -4t Combine like terms: 4t + -4t = 0 19.2 + -3.2t = 8 + 0 19.2 + -3.2t = 8 Add '-19.2' to each side of the equation. 19.2 + -19.2 + -3.2t = 8 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -3.2t = 8 + -19.2 -3.2t = 8 + -19.2 Combine like terms: 8 + -19.2 = -11.2 -3.2t = -11.2 Divide each side by '-3.2'. t = 3.5 Simplifying t = 3.5
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