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Simplifying 6(a + 2b) + 8a + -16b = 0 (a * 6 + 2b * 6) + 8a + -16b = 0 (6a + 12b) + 8a + -16b = 0 Reorder the terms: 6a + 8a + 12b + -16b = 0 Combine like terms: 6a + 8a = 14a 14a + 12b + -16b = 0 Combine like terms: 12b + -16b = -4b 14a + -4b = 0 Solving 14a + -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. 14a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 14a + 0 = 0 + 4b 14a = 0 + 4b Remove the zero: 14a = 4b Divide each side by '14'. a = 0.2857142857b Simplifying a = 0.2857142857b
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