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Simplifying 4a + 6t + 5a + 7t = 0 Reorder the terms: 4a + 5a + 6t + 7t = 0 Combine like terms: 4a + 5a = 9a 9a + 6t + 7t = 0 Combine like terms: 6t + 7t = 13t 9a + 13t = 0 Solving 9a + 13t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13t' to each side of the equation. 9a + 13t + -13t = 0 + -13t Combine like terms: 13t + -13t = 0 9a + 0 = 0 + -13t 9a = 0 + -13t Remove the zero: 9a = -13t Divide each side by '9'. a = -1.444444444t Simplifying a = -1.444444444t
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