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Simplifying 13t + 19 + 9 = 38 + t + 14 Reorder the terms: 19 + 9 + 13t = 38 + t + 14 Combine like terms: 19 + 9 = 28 28 + 13t = 38 + t + 14 Reorder the terms: 28 + 13t = 38 + 14 + t Combine like terms: 38 + 14 = 52 28 + 13t = 52 + t Solving 28 + 13t = 52 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 28 + 13t + -1t = 52 + t + -1t Combine like terms: 13t + -1t = 12t 28 + 12t = 52 + t + -1t Combine like terms: t + -1t = 0 28 + 12t = 52 + 0 28 + 12t = 52 Add '-28' to each side of the equation. 28 + -28 + 12t = 52 + -28 Combine like terms: 28 + -28 = 0 0 + 12t = 52 + -28 12t = 52 + -28 Combine like terms: 52 + -28 = 24 12t = 24 Divide each side by '12'. t = 2 Simplifying t = 2
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