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Simplifying 2t + 10 + -1t = -7 + -1t Reorder the terms: 10 + 2t + -1t = -7 + -1t Combine like terms: 2t + -1t = 1t 10 + 1t = -7 + -1t Solving 10 + 1t = -7 + -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. 10 + 1t + t = -7 + -1t + t Combine like terms: 1t + t = 2t 10 + 2t = -7 + -1t + t Combine like terms: -1t + t = 0 10 + 2t = -7 + 0 10 + 2t = -7 Add '-10' to each side of the equation. 10 + -10 + 2t = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = -7 + -10 2t = -7 + -10 Combine like terms: -7 + -10 = -17 2t = -17 Divide each side by '2'. t = -8.5 Simplifying t = -8.5
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