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Simplifying 4(2a + -6) + 8b = 0 Reorder the terms: 4(-6 + 2a) + 8b = 0 (-6 * 4 + 2a * 4) + 8b = 0 (-24 + 8a) + 8b = 0 Solving -24 + 8a + 8b = 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 + 8a + 24 + 8b = 0 + 24 Reorder the terms: -24 + 24 + 8a + 8b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8a + 8b = 0 + 24 8a + 8b = 0 + 24 Combine like terms: 0 + 24 = 24 8a + 8b = 24 Add '-8b' to each side of the equation. 8a + 8b + -8b = 24 + -8b Combine like terms: 8b + -8b = 0 8a + 0 = 24 + -8b 8a = 24 + -8b Divide each side by '8'. a = 3 + -1b Simplifying a = 3 + -1b
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