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Simplifying 3(2a + -5b + 6) = 0 Reorder the terms: 3(6 + 2a + -5b) = 0 (6 * 3 + 2a * 3 + -5b * 3) = 0 (18 + 6a + -15b) = 0 Solving 18 + 6a + -15b = 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 + -15b = 0 + -18 Reorder the terms: 18 + -18 + 6a + -15b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6a + -15b = 0 + -18 6a + -15b = 0 + -18 Combine like terms: 0 + -18 = -18 6a + -15b = -18 Add '15b' to each side of the equation. 6a + -15b + 15b = -18 + 15b Combine like terms: -15b + 15b = 0 6a + 0 = -18 + 15b 6a = -18 + 15b Divide each side by '6'. a = -3 + 2.5b Simplifying a = -3 + 2.5b
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