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Simplifying 13t + -2 = 3t + 38 Reorder the terms: -2 + 13t = 3t + 38 Reorder the terms: -2 + 13t = 38 + 3t Solving -2 + 13t = 38 + 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. -2 + 13t + -3t = 38 + 3t + -3t Combine like terms: 13t + -3t = 10t -2 + 10t = 38 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + 10t = 38 + 0 -2 + 10t = 38 Add '2' to each side of the equation. -2 + 2 + 10t = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 10t = 38 + 2 10t = 38 + 2 Combine like terms: 38 + 2 = 40 10t = 40 Divide each side by '10'. t = 4 Simplifying t = 4
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