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Simplifying 7a + 3b + -6(9a + -4b) = 0 7a + 3b + (9a * -6 + -4b * -6) = 0 7a + 3b + (-54a + 24b) = 0 Reorder the terms: 7a + -54a + 3b + 24b = 0 Combine like terms: 7a + -54a = -47a -47a + 3b + 24b = 0 Combine like terms: 3b + 24b = 27b -47a + 27b = 0 Solving -47a + 27b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27b' to each side of the equation. -47a + 27b + -27b = 0 + -27b Combine like terms: 27b + -27b = 0 -47a + 0 = 0 + -27b -47a = 0 + -27b Remove the zero: -47a = -27b Divide each side by '-47'. a = 0.5744680851b Simplifying a = 0.5744680851b
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