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Simplifying 2(a + 6b + 7) = 0 Reorder the terms: 2(7 + a + 6b) = 0 (7 * 2 + a * 2 + 6b * 2) = 0 (14 + 2a + 12b) = 0 Solving 14 + 2a + 12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2a + -14 + 12b = 0 + -14 Reorder the terms: 14 + -14 + 2a + 12b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2a + 12b = 0 + -14 2a + 12b = 0 + -14 Combine like terms: 0 + -14 = -14 2a + 12b = -14 Add '-12b' to each side of the equation. 2a + 12b + -12b = -14 + -12b Combine like terms: 12b + -12b = 0 2a + 0 = -14 + -12b 2a = -14 + -12b Divide each side by '2'. a = -7 + -6b Simplifying a = -7 + -6b
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