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Simplifying 18a + 24b + 42a + 21b = 0 Reorder the terms: 18a + 42a + 24b + 21b = 0 Combine like terms: 18a + 42a = 60a 60a + 24b + 21b = 0 Combine like terms: 24b + 21b = 45b 60a + 45b = 0 Solving 60a + 45b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45b' to each side of the equation. 60a + 45b + -45b = 0 + -45b Combine like terms: 45b + -45b = 0 60a + 0 = 0 + -45b 60a = 0 + -45b Remove the zero: 60a = -45b Divide each side by '60'. a = -0.75b Simplifying a = -0.75b
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