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Simplifying 6a + 3b + -8(8a + -3b) = 0 6a + 3b + (8a * -8 + -3b * -8) = 0 6a + 3b + (-64a + 24b) = 0 Reorder the terms: 6a + -64a + 3b + 24b = 0 Combine like terms: 6a + -64a = -58a -58a + 3b + 24b = 0 Combine like terms: 3b + 24b = 27b -58a + 27b = 0 Solving -58a + 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. -58a + 27b + -27b = 0 + -27b Combine like terms: 27b + -27b = 0 -58a + 0 = 0 + -27b -58a = 0 + -27b Remove the zero: -58a = -27b Divide each side by '-58'. a = 0.4655172414b Simplifying a = 0.4655172414b
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