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Simplifying 19t + 81 + -13t = 8a + -2t + 5a Reorder the terms: 81 + 19t + -13t = 8a + -2t + 5a Combine like terms: 19t + -13t = 6t 81 + 6t = 8a + -2t + 5a Reorder the terms: 81 + 6t = 8a + 5a + -2t Combine like terms: 8a + 5a = 13a 81 + 6t = 13a + -2t Solving 81 + 6t = 13a + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 81 + 6t + 2t = 13a + -2t + 2t Combine like terms: 6t + 2t = 8t 81 + 8t = 13a + -2t + 2t Combine like terms: -2t + 2t = 0 81 + 8t = 13a + 0 81 + 8t = 13a Add '-81' to each side of the equation. 81 + -81 + 8t = -81 + 13a Combine like terms: 81 + -81 = 0 0 + 8t = -81 + 13a 8t = -81 + 13a Divide each side by '8'. t = -10.125 + 1.625a Simplifying t = -10.125 + 1.625a
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