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Simplifying 7(a + 3b) + -3(2a + -4b) = 0 (a * 7 + 3b * 7) + -3(2a + -4b) = 0 (7a + 21b) + -3(2a + -4b) = 0 7a + 21b + (2a * -3 + -4b * -3) = 0 7a + 21b + (-6a + 12b) = 0 Reorder the terms: 7a + -6a + 21b + 12b = 0 Combine like terms: 7a + -6a = 1a 1a + 21b + 12b = 0 Combine like terms: 21b + 12b = 33b 1a + 33b = 0 Solving 1a + 33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33b' to each side of the equation. 1a + 33b + -33b = 0 + -33b Combine like terms: 33b + -33b = 0 1a + 0 = 0 + -33b 1a = 0 + -33b Remove the zero: 1a = -33b Divide each side by '1'. a = -33b Simplifying a = -33b
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