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Simplifying 6(a + 2b) + 3a + -16b = 0 (a * 6 + 2b * 6) + 3a + -16b = 0 (6a + 12b) + 3a + -16b = 0 Reorder the terms: 6a + 3a + 12b + -16b = 0 Combine like terms: 6a + 3a = 9a 9a + 12b + -16b = 0 Combine like terms: 12b + -16b = -4b 9a + -4b = 0 Solving 9a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 9a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 9a + 0 = 0 + 4b 9a = 0 + 4b Remove the zero: 9a = 4b Divide each side by '9'. a = 0.4444444444b Simplifying a = 0.4444444444b
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