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Simplifying 8(t + 5) + 2 = 4.8t + 4 Reorder the terms: 8(5 + t) + 2 = 4.8t + 4 (5 * 8 + t * 8) + 2 = 4.8t + 4 (40 + 8t) + 2 = 4.8t + 4 Reorder the terms: 40 + 2 + 8t = 4.8t + 4 Combine like terms: 40 + 2 = 42 42 + 8t = 4.8t + 4 Reorder the terms: 42 + 8t = 4 + 4.8t Solving 42 + 8t = 4 + 4.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.8t' to each side of the equation. 42 + 8t + -4.8t = 4 + 4.8t + -4.8t Combine like terms: 8t + -4.8t = 3.2t 42 + 3.2t = 4 + 4.8t + -4.8t Combine like terms: 4.8t + -4.8t = 0.0 42 + 3.2t = 4 + 0.0 42 + 3.2t = 4 Add '-42' to each side of the equation. 42 + -42 + 3.2t = 4 + -42 Combine like terms: 42 + -42 = 0 0 + 3.2t = 4 + -42 3.2t = 4 + -42 Combine like terms: 4 + -42 = -38 3.2t = -38 Divide each side by '3.2'. t = -11.875 Simplifying t = -11.875
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