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Simplifying 0.5(2a + -6b + 8) = 0 Reorder the terms: 0.5(8 + 2a + -6b) = 0 (8 * 0.5 + 2a * 0.5 + -6b * 0.5) = 0 (4 + 1a + -3b) = 0 Solving 4 + 1a + -3b = 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 + 1a + -4 + -3b = 0 + -4 Reorder the terms: 4 + -4 + 1a + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1a + -3b = 0 + -4 1a + -3b = 0 + -4 Combine like terms: 0 + -4 = -4 1a + -3b = -4 Add '3b' to each side of the equation. 1a + -3b + 3b = -4 + 3b Combine like terms: -3b + 3b = 0 1a + 0 = -4 + 3b 1a = -4 + 3b Divide each side by '1'. a = -4 + 3b Simplifying a = -4 + 3b
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