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Simplifying 5t + 10 = 2t + 31 Reorder the terms: 10 + 5t = 2t + 31 Reorder the terms: 10 + 5t = 31 + 2t Solving 10 + 5t = 31 + 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 + 5t + -2t = 31 + 2t + -2t Combine like terms: 5t + -2t = 3t 10 + 3t = 31 + 2t + -2t Combine like terms: 2t + -2t = 0 10 + 3t = 31 + 0 10 + 3t = 31 Add '-10' to each side of the equation. 10 + -10 + 3t = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 3t = 31 + -10 3t = 31 + -10 Combine like terms: 31 + -10 = 21 3t = 21 Divide each side by '3'. t = 7 Simplifying t = 7
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