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Simplifying 5(2t + 3) + 4(2t + -1) = 17t Reorder the terms: 5(3 + 2t) + 4(2t + -1) = 17t (3 * 5 + 2t * 5) + 4(2t + -1) = 17t (15 + 10t) + 4(2t + -1) = 17t Reorder the terms: 15 + 10t + 4(-1 + 2t) = 17t 15 + 10t + (-1 * 4 + 2t * 4) = 17t 15 + 10t + (-4 + 8t) = 17t Reorder the terms: 15 + -4 + 10t + 8t = 17t Combine like terms: 15 + -4 = 11 11 + 10t + 8t = 17t Combine like terms: 10t + 8t = 18t 11 + 18t = 17t Solving 11 + 18t = 17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17t' to each side of the equation. 11 + 18t + -17t = 17t + -17t Combine like terms: 18t + -17t = 1t 11 + 1t = 17t + -17t Combine like terms: 17t + -17t = 0 11 + 1t = 0 Add '-11' to each side of the equation. 11 + -11 + 1t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1t = 0 + -11 1t = 0 + -11 Combine like terms: 0 + -11 = -11 1t = -11 Divide each side by '1'. t = -11 Simplifying t = -11
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