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Simplifying 5t + 20 = 3t + 14 Reorder the terms: 20 + 5t = 3t + 14 Reorder the terms: 20 + 5t = 14 + 3t Solving 20 + 5t = 14 + 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. 20 + 5t + -3t = 14 + 3t + -3t Combine like terms: 5t + -3t = 2t 20 + 2t = 14 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + 2t = 14 + 0 20 + 2t = 14 Add '-20' to each side of the equation. 20 + -20 + 2t = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = 14 + -20 2t = 14 + -20 Combine like terms: 14 + -20 = -6 2t = -6 Divide each side by '2'. t = -3 Simplifying t = -3
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