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Simplifying 7(3a + 3b) + 6(2a + 4b) = 0 (3a * 7 + 3b * 7) + 6(2a + 4b) = 0 (21a + 21b) + 6(2a + 4b) = 0 21a + 21b + (2a * 6 + 4b * 6) = 0 21a + 21b + (12a + 24b) = 0 Reorder the terms: 21a + 12a + 21b + 24b = 0 Combine like terms: 21a + 12a = 33a 33a + 21b + 24b = 0 Combine like terms: 21b + 24b = 45b 33a + 45b = 0 Solving 33a + 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. 33a + 45b + -45b = 0 + -45b Combine like terms: 45b + -45b = 0 33a + 0 = 0 + -45b 33a = 0 + -45b Remove the zero: 33a = -45b Divide each side by '33'. a = -1.363636364b Simplifying a = -1.363636364b
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