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Simplifying 5t + 2 = 3t + 10 Reorder the terms: 2 + 5t = 3t + 10 Reorder the terms: 2 + 5t = 10 + 3t Solving 2 + 5t = 10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 2 + 5t + -3t = 10 + 3t + -3t Combine like terms: 5t + -3t = 2t 2 + 2t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 2t = 10 + 0 2 + 2t = 10 Add '-2' to each side of the equation. 2 + -2 + 2t = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = 10 + -2 2t = 10 + -2 Combine like terms: 10 + -2 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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