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Simplifying 5(a + b) + 6(2a + 4b) = 0 (a * 5 + b * 5) + 6(2a + 4b) = 0 (5a + 5b) + 6(2a + 4b) = 0 5a + 5b + (2a * 6 + 4b * 6) = 0 5a + 5b + (12a + 24b) = 0 Reorder the terms: 5a + 12a + 5b + 24b = 0 Combine like terms: 5a + 12a = 17a 17a + 5b + 24b = 0 Combine like terms: 5b + 24b = 29b 17a + 29b = 0 Solving 17a + 29b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29b' to each side of the equation. 17a + 29b + -29b = 0 + -29b Combine like terms: 29b + -29b = 0 17a + 0 = 0 + -29b 17a = 0 + -29b Remove the zero: 17a = -29b Divide each side by '17'. a = -1.705882353b Simplifying a = -1.705882353b
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