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Simplifying 4(2a + -8b) = 0 (2a * 4 + -8b * 4) = 0 (8a + -32b) = 0 Solving 8a + -32b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32b' to each side of the equation. 8a + -32b + 32b = 0 + 32b Combine like terms: -32b + 32b = 0 8a + 0 = 0 + 32b 8a = 0 + 32b Remove the zero: 8a = 32b Divide each side by '8'. a = 4b Simplifying a = 4b
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