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Simplifying 13t + -15 = 2t + 3t + 15 Reorder the terms: -15 + 13t = 2t + 3t + 15 Reorder the terms: -15 + 13t = 15 + 2t + 3t Combine like terms: 2t + 3t = 5t -15 + 13t = 15 + 5t Solving -15 + 13t = 15 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -15 + 13t + -5t = 15 + 5t + -5t Combine like terms: 13t + -5t = 8t -15 + 8t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 -15 + 8t = 15 + 0 -15 + 8t = 15 Add '15' to each side of the equation. -15 + 15 + 8t = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 8t = 15 + 15 8t = 15 + 15 Combine like terms: 15 + 15 = 30 8t = 30 Divide each side by '8'. t = 3.75 Simplifying t = 3.75
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