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Simplifying 5a + 7b + 3a + -4 + 3b = 0 Reorder the terms: -4 + 5a + 3a + 7b + 3b = 0 Combine like terms: 5a + 3a = 8a -4 + 8a + 7b + 3b = 0 Combine like terms: 7b + 3b = 10b -4 + 8a + 10b = 0 Solving -4 + 8a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8a + 4 + 10b = 0 + 4 Reorder the terms: -4 + 4 + 8a + 10b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8a + 10b = 0 + 4 8a + 10b = 0 + 4 Combine like terms: 0 + 4 = 4 8a + 10b = 4 Add '-10b' to each side of the equation. 8a + 10b + -10b = 4 + -10b Combine like terms: 10b + -10b = 0 8a + 0 = 4 + -10b 8a = 4 + -10b Divide each side by '8'. a = 0.5 + -1.25b Simplifying a = 0.5 + -1.25b
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