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Simplifying 5 + -3a = 5(7a + s) + -5 5 + -3a = (7a * 5 + s * 5) + -5 5 + -3a = (35a + 5s) + -5 Reorder the terms: 5 + -3a = -5 + 35a + 5s Solving 5 + -3a = -5 + 35a + 5s Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 5 + -3a + -35a = -5 + 35a + -35a + 5s Combine like terms: -3a + -35a = -38a 5 + -38a = -5 + 35a + -35a + 5s Combine like terms: 35a + -35a = 0 5 + -38a = -5 + 0 + 5s 5 + -38a = -5 + 5s Add '-5' to each side of the equation. 5 + -5 + -38a = -5 + -5 + 5s Combine like terms: 5 + -5 = 0 0 + -38a = -5 + -5 + 5s -38a = -5 + -5 + 5s Combine like terms: -5 + -5 = -10 -38a = -10 + 5s Divide each side by '-38'. a = 0.2631578947 + -0.1315789474s Simplifying a = 0.2631578947 + -0.1315789474s
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