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Simplifying 7(5a + 3b) + -4a = 0 (5a * 7 + 3b * 7) + -4a = 0 (35a + 21b) + -4a = 0 Reorder the terms: 35a + -4a + 21b = 0 Combine like terms: 35a + -4a = 31a 31a + 21b = 0 Solving 31a + 21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21b' to each side of the equation. 31a + 21b + -21b = 0 + -21b Combine like terms: 21b + -21b = 0 31a + 0 = 0 + -21b 31a = 0 + -21b Remove the zero: 31a = -21b Divide each side by '31'. a = -0.6774193548b Simplifying a = -0.6774193548b
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