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Simplifying 3(2a + 1) + -8b = 0 Reorder the terms: 3(1 + 2a) + -8b = 0 (1 * 3 + 2a * 3) + -8b = 0 (3 + 6a) + -8b = 0 Solving 3 + 6a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 6a + -3 + -8b = 0 + -3 Reorder the terms: 3 + -3 + 6a + -8b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6a + -8b = 0 + -3 6a + -8b = 0 + -3 Combine like terms: 0 + -3 = -3 6a + -8b = -3 Add '8b' to each side of the equation. 6a + -8b + 8b = -3 + 8b Combine like terms: -8b + 8b = 0 6a + 0 = -3 + 8b 6a = -3 + 8b Divide each side by '6'. a = -0.5 + 1.333333333b Simplifying a = -0.5 + 1.333333333b
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