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Simplifying 6(3a + b + 4) = 0 Reorder the terms: 6(4 + 3a + b) = 0 (4 * 6 + 3a * 6 + b * 6) = 0 (24 + 18a + 6b) = 0 Solving 24 + 18a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 18a + -24 + 6b = 0 + -24 Reorder the terms: 24 + -24 + 18a + 6b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 18a + 6b = 0 + -24 18a + 6b = 0 + -24 Combine like terms: 0 + -24 = -24 18a + 6b = -24 Add '-6b' to each side of the equation. 18a + 6b + -6b = -24 + -6b Combine like terms: 6b + -6b = 0 18a + 0 = -24 + -6b 18a = -24 + -6b Divide each side by '18'. a = -1.333333333 + -0.3333333333b Simplifying a = -1.333333333 + -0.3333333333b
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