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Simplifying 6(a + 2b) + 8a + -16 = 0 (a * 6 + 2b * 6) + 8a + -16 = 0 (6a + 12b) + 8a + -16 = 0 Reorder the terms: -16 + 6a + 8a + 12b = 0 Combine like terms: 6a + 8a = 14a -16 + 14a + 12b = 0 Solving -16 + 14a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 14a + 16 + 12b = 0 + 16 Reorder the terms: -16 + 16 + 14a + 12b = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 14a + 12b = 0 + 16 14a + 12b = 0 + 16 Combine like terms: 0 + 16 = 16 14a + 12b = 16 Add '-12b' to each side of the equation. 14a + 12b + -12b = 16 + -12b Combine like terms: 12b + -12b = 0 14a + 0 = 16 + -12b 14a = 16 + -12b Divide each side by '14'. a = 1.142857143 + -0.8571428571b Simplifying a = 1.142857143 + -0.8571428571b
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