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Simplifying 4(2a + -1b + 8) = 0 Reorder the terms: 4(8 + 2a + -1b) = 0 (8 * 4 + 2a * 4 + -1b * 4) = 0 (32 + 8a + -4b) = 0 Solving 32 + 8a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8a + -32 + -4b = 0 + -32 Reorder the terms: 32 + -32 + 8a + -4b = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8a + -4b = 0 + -32 8a + -4b = 0 + -32 Combine like terms: 0 + -32 = -32 8a + -4b = -32 Add '4b' to each side of the equation. 8a + -4b + 4b = -32 + 4b Combine like terms: -4b + 4b = 0 8a + 0 = -32 + 4b 8a = -32 + 4b Divide each side by '8'. a = -4 + 0.5b Simplifying a = -4 + 0.5b
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