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Simplifying 7 + 19t + -1 = 7t + 38 + -4t Reorder the terms: 7 + -1 + 19t = 7t + 38 + -4t Combine like terms: 7 + -1 = 6 6 + 19t = 7t + 38 + -4t Reorder the terms: 6 + 19t = 38 + 7t + -4t Combine like terms: 7t + -4t = 3t 6 + 19t = 38 + 3t Solving 6 + 19t = 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. 6 + 19t + -3t = 38 + 3t + -3t Combine like terms: 19t + -3t = 16t 6 + 16t = 38 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 16t = 38 + 0 6 + 16t = 38 Add '-6' to each side of the equation. 6 + -6 + 16t = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 16t = 38 + -6 16t = 38 + -6 Combine like terms: 38 + -6 = 32 16t = 32 Divide each side by '16'. t = 2 Simplifying t = 2
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