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Simplifying 8(2t + 1) + -1(t + -9) = 52 + -8t Reorder the terms: 8(1 + 2t) + -1(t + -9) = 52 + -8t (1 * 8 + 2t * 8) + -1(t + -9) = 52 + -8t (8 + 16t) + -1(t + -9) = 52 + -8t Reorder the terms: 8 + 16t + -1(-9 + t) = 52 + -8t 8 + 16t + (-9 * -1 + t * -1) = 52 + -8t 8 + 16t + (9 + -1t) = 52 + -8t Reorder the terms: 8 + 9 + 16t + -1t = 52 + -8t Combine like terms: 8 + 9 = 17 17 + 16t + -1t = 52 + -8t Combine like terms: 16t + -1t = 15t 17 + 15t = 52 + -8t Solving 17 + 15t = 52 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 17 + 15t + 8t = 52 + -8t + 8t Combine like terms: 15t + 8t = 23t 17 + 23t = 52 + -8t + 8t Combine like terms: -8t + 8t = 0 17 + 23t = 52 + 0 17 + 23t = 52 Add '-17' to each side of the equation. 17 + -17 + 23t = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 23t = 52 + -17 23t = 52 + -17 Combine like terms: 52 + -17 = 35 23t = 35 Divide each side by '23'. t = 1.52173913 Simplifying t = 1.52173913
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