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Simplifying 4(a + -2b + 1) = 0 Reorder the terms: 4(1 + a + -2b) = 0 (1 * 4 + a * 4 + -2b * 4) = 0 (4 + 4a + -8b) = 0 Solving 4 + 4a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4a + -4 + -8b = 0 + -4 Reorder the terms: 4 + -4 + 4a + -8b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4a + -8b = 0 + -4 4a + -8b = 0 + -4 Combine like terms: 0 + -4 = -4 4a + -8b = -4 Add '8b' to each side of the equation. 4a + -8b + 8b = -4 + 8b Combine like terms: -8b + 8b = 0 4a + 0 = -4 + 8b 4a = -4 + 8b Divide each side by '4'. a = -1 + 2b Simplifying a = -1 + 2b
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