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Simplifying 5t + -12 = 3t + 15 Reorder the terms: -12 + 5t = 3t + 15 Reorder the terms: -12 + 5t = 15 + 3t Solving -12 + 5t = 15 + 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. -12 + 5t + -3t = 15 + 3t + -3t Combine like terms: 5t + -3t = 2t -12 + 2t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 -12 + 2t = 15 + 0 -12 + 2t = 15 Add '12' to each side of the equation. -12 + 12 + 2t = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = 15 + 12 2t = 15 + 12 Combine like terms: 15 + 12 = 27 2t = 27 Divide each side by '2'. t = 13.5 Simplifying t = 13.5
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