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Simplifying 8(2t + 1) + -1(t + -9) = -52 Reorder the terms: 8(1 + 2t) + -1(t + -9) = -52 (1 * 8 + 2t * 8) + -1(t + -9) = -52 (8 + 16t) + -1(t + -9) = -52 Reorder the terms: 8 + 16t + -1(-9 + t) = -52 8 + 16t + (-9 * -1 + t * -1) = -52 8 + 16t + (9 + -1t) = -52 Reorder the terms: 8 + 9 + 16t + -1t = -52 Combine like terms: 8 + 9 = 17 17 + 16t + -1t = -52 Combine like terms: 16t + -1t = 15t 17 + 15t = -52 Solving 17 + 15t = -52 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 15t = -52 + -17 Combine like terms: 17 + -17 = 0 0 + 15t = -52 + -17 15t = -52 + -17 Combine like terms: -52 + -17 = -69 15t = -69 Divide each side by '15'. t = -4.6 Simplifying t = -4.6
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