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Simplifying 3t + 17 = t + -1(-3) Reorder the terms: 17 + 3t = t + -1(-3) Multiply -1 * -3 17 + 3t = t + 3 Reorder the terms: 17 + 3t = 3 + t Solving 17 + 3t = 3 + 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. 17 + 3t + -1t = 3 + t + -1t Combine like terms: 3t + -1t = 2t 17 + 2t = 3 + t + -1t Combine like terms: t + -1t = 0 17 + 2t = 3 + 0 17 + 2t = 3 Add '-17' to each side of the equation. 17 + -17 + 2t = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 2t = 3 + -17 2t = 3 + -17 Combine like terms: 3 + -17 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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