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Simplifying 5t + 7 = 2t + 13 Reorder the terms: 7 + 5t = 2t + 13 Reorder the terms: 7 + 5t = 13 + 2t Solving 7 + 5t = 13 + 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. 7 + 5t + -2t = 13 + 2t + -2t Combine like terms: 5t + -2t = 3t 7 + 3t = 13 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 3t = 13 + 0 7 + 3t = 13 Add '-7' to each side of the equation. 7 + -7 + 3t = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3t = 13 + -7 3t = 13 + -7 Combine like terms: 13 + -7 = 6 3t = 6 Divide each side by '3'. t = 2 Simplifying t = 2
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