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Simplifying t + 17 + -2t = -3(t + -1) + -3 Reorder the terms: 17 + t + -2t = -3(t + -1) + -3 Combine like terms: t + -2t = -1t 17 + -1t = -3(t + -1) + -3 Reorder the terms: 17 + -1t = -3(-1 + t) + -3 17 + -1t = (-1 * -3 + t * -3) + -3 17 + -1t = (3 + -3t) + -3 Reorder the terms: 17 + -1t = 3 + -3 + -3t Combine like terms: 3 + -3 = 0 17 + -1t = 0 + -3t 17 + -1t = -3t Solving 17 + -1t = -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 17 + -1t + 3t = -3t + 3t Combine like terms: -1t + 3t = 2t 17 + 2t = -3t + 3t Combine like terms: -3t + 3t = 0 17 + 2t = 0 Add '-17' to each side of the equation. 17 + -17 + 2t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2t = 0 + -17 2t = 0 + -17 Combine like terms: 0 + -17 = -17 2t = -17 Divide each side by '2'. t = -8.5 Simplifying t = -8.5
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