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Simplifying -3 + 2t + 19t = 19t + 19 Combine like terms: 2t + 19t = 21t -3 + 21t = 19t + 19 Reorder the terms: -3 + 21t = 19 + 19t Solving -3 + 21t = 19 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -3 + 21t + -19t = 19 + 19t + -19t Combine like terms: 21t + -19t = 2t -3 + 2t = 19 + 19t + -19t Combine like terms: 19t + -19t = 0 -3 + 2t = 19 + 0 -3 + 2t = 19 Add '3' to each side of the equation. -3 + 3 + 2t = 19 + 3 Combine like terms: -3 + 3 = 0 0 + 2t = 19 + 3 2t = 19 + 3 Combine like terms: 19 + 3 = 22 2t = 22 Divide each side by '2'. t = 11 Simplifying t = 11
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