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Simplifying 3 + 19t + -2 = 8t + 61 + -4t Reorder the terms: 3 + -2 + 19t = 8t + 61 + -4t Combine like terms: 3 + -2 = 1 1 + 19t = 8t + 61 + -4t Reorder the terms: 1 + 19t = 61 + 8t + -4t Combine like terms: 8t + -4t = 4t 1 + 19t = 61 + 4t Solving 1 + 19t = 61 + 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. 1 + 19t + -4t = 61 + 4t + -4t Combine like terms: 19t + -4t = 15t 1 + 15t = 61 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 15t = 61 + 0 1 + 15t = 61 Add '-1' to each side of the equation. 1 + -1 + 15t = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 15t = 61 + -1 15t = 61 + -1 Combine like terms: 61 + -1 = 60 15t = 60 Divide each side by '15'. t = 4 Simplifying t = 4
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