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Simplifying 6(a + 2b) + 8b + -16b = 0 (a * 6 + 2b * 6) + 8b + -16b = 0 (6a + 12b) + 8b + -16b = 0 Combine like terms: 12b + 8b = 20b 6a + 20b + -16b = 0 Combine like terms: 20b + -16b = 4b 6a + 4b = 0 Solving 6a + 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. 6a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 6a + 0 = 0 + -4b 6a = 0 + -4b Remove the zero: 6a = -4b Divide each side by '6'. a = -0.6666666667b Simplifying a = -0.6666666667b
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