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Simplifying 2(3 + -4t) + -5(2t + -3) = t + -17 (3 * 2 + -4t * 2) + -5(2t + -3) = t + -17 (6 + -8t) + -5(2t + -3) = t + -17 Reorder the terms: 6 + -8t + -5(-3 + 2t) = t + -17 6 + -8t + (-3 * -5 + 2t * -5) = t + -17 6 + -8t + (15 + -10t) = t + -17 Reorder the terms: 6 + 15 + -8t + -10t = t + -17 Combine like terms: 6 + 15 = 21 21 + -8t + -10t = t + -17 Combine like terms: -8t + -10t = -18t 21 + -18t = t + -17 Reorder the terms: 21 + -18t = -17 + t Solving 21 + -18t = -17 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 21 + -18t + -1t = -17 + t + -1t Combine like terms: -18t + -1t = -19t 21 + -19t = -17 + t + -1t Combine like terms: t + -1t = 0 21 + -19t = -17 + 0 21 + -19t = -17 Add '-21' to each side of the equation. 21 + -21 + -19t = -17 + -21 Combine like terms: 21 + -21 = 0 0 + -19t = -17 + -21 -19t = -17 + -21 Combine like terms: -17 + -21 = -38 -19t = -38 Divide each side by '-19'. t = 2 Simplifying t = 2
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