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Simplifying 3t + 10 = -1t + -4 + 2t Reorder the terms: 10 + 3t = -1t + -4 + 2t Reorder the terms: 10 + 3t = -4 + -1t + 2t Combine like terms: -1t + 2t = 1t 10 + 3t = -4 + 1t Solving 10 + 3t = -4 + 1t 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. 10 + 3t + -1t = -4 + 1t + -1t Combine like terms: 3t + -1t = 2t 10 + 2t = -4 + 1t + -1t Combine like terms: 1t + -1t = 0 10 + 2t = -4 + 0 10 + 2t = -4 Add '-10' to each side of the equation. 10 + -10 + 2t = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = -4 + -10 2t = -4 + -10 Combine like terms: -4 + -10 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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