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Simplifying 5t + 5 = 3t + 12 Reorder the terms: 5 + 5t = 3t + 12 Reorder the terms: 5 + 5t = 12 + 3t Solving 5 + 5t = 12 + 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. 5 + 5t + -3t = 12 + 3t + -3t Combine like terms: 5t + -3t = 2t 5 + 2t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 2t = 12 + 0 5 + 2t = 12 Add '-5' to each side of the equation. 5 + -5 + 2t = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = 12 + -5 2t = 12 + -5 Combine like terms: 12 + -5 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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