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Simplifying 0.9(2t + 8) = 20 + -1(t + 5) Reorder the terms: 0.9(8 + 2t) = 20 + -1(t + 5) (8 * 0.9 + 2t * 0.9) = 20 + -1(t + 5) (7.2 + 1.8t) = 20 + -1(t + 5) Reorder the terms: 7.2 + 1.8t = 20 + -1(5 + t) 7.2 + 1.8t = 20 + (5 * -1 + t * -1) 7.2 + 1.8t = 20 + (-5 + -1t) Combine like terms: 20 + -5 = 15 7.2 + 1.8t = 15 + -1t Solving 7.2 + 1.8t = 15 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 7.2 + 1.8t + t = 15 + -1t + t Combine like terms: 1.8t + t = 2.8t 7.2 + 2.8t = 15 + -1t + t Combine like terms: -1t + t = 0 7.2 + 2.8t = 15 + 0 7.2 + 2.8t = 15 Add '-7.2' to each side of the equation. 7.2 + -7.2 + 2.8t = 15 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 2.8t = 15 + -7.2 2.8t = 15 + -7.2 Combine like terms: 15 + -7.2 = 7.8 2.8t = 7.8 Divide each side by '2.8'. t = 2.785714286 Simplifying t = 2.785714286
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