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Simplifying 13t + 2 = 4t + 38 Reorder the terms: 2 + 13t = 4t + 38 Reorder the terms: 2 + 13t = 38 + 4t Solving 2 + 13t = 38 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 2 + 13t + -4t = 38 + 4t + -4t Combine like terms: 13t + -4t = 9t 2 + 9t = 38 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + 9t = 38 + 0 2 + 9t = 38 Add '-2' to each side of the equation. 2 + -2 + 9t = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 9t = 38 + -2 9t = 38 + -2 Combine like terms: 38 + -2 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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