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Simplifying 3t + 10 = 2t + 7 Reorder the terms: 10 + 3t = 2t + 7 Reorder the terms: 10 + 3t = 7 + 2t Solving 10 + 3t = 7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 10 + 3t + -2t = 7 + 2t + -2t Combine like terms: 3t + -2t = 1t 10 + 1t = 7 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + 1t = 7 + 0 10 + 1t = 7 Add '-10' to each side of the equation. 10 + -10 + 1t = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 1t = 7 + -10 1t = 7 + -10 Combine like terms: 7 + -10 = -3 1t = -3 Divide each side by '1'. t = -3 Simplifying t = -3
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