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Simplifying 13 + 2t = -5t + -17 + 4t Reorder the terms: 13 + 2t = -17 + -5t + 4t Combine like terms: -5t + 4t = -1t 13 + 2t = -17 + -1t Solving 13 + 2t = -17 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 13 + 2t + t = -17 + -1t + t Combine like terms: 2t + t = 3t 13 + 3t = -17 + -1t + t Combine like terms: -1t + t = 0 13 + 3t = -17 + 0 13 + 3t = -17 Add '-13' to each side of the equation. 13 + -13 + 3t = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 3t = -17 + -13 3t = -17 + -13 Combine like terms: -17 + -13 = -30 3t = -30 Divide each side by '3'. t = -10 Simplifying t = -10
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