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Simplifying 6(a + -2b + 3) = 0 Reorder the terms: 6(3 + a + -2b) = 0 (3 * 6 + a * 6 + -2b * 6) = 0 (18 + 6a + -12b) = 0 Solving 18 + 6a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6a + -18 + -12b = 0 + -18 Reorder the terms: 18 + -18 + 6a + -12b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6a + -12b = 0 + -18 6a + -12b = 0 + -18 Combine like terms: 0 + -18 = -18 6a + -12b = -18 Add '12b' to each side of the equation. 6a + -12b + 12b = -18 + 12b Combine like terms: -12b + 12b = 0 6a + 0 = -18 + 12b 6a = -18 + 12b Divide each side by '6'. a = -3 + 2b Simplifying a = -3 + 2b
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