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Simplifying -5(-8a + -4b + 6) = 0 Reorder the terms: -5(6 + -8a + -4b) = 0 (6 * -5 + -8a * -5 + -4b * -5) = 0 (-30 + 40a + 20b) = 0 Solving -30 + 40a + 20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 40a + 30 + 20b = 0 + 30 Reorder the terms: -30 + 30 + 40a + 20b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 40a + 20b = 0 + 30 40a + 20b = 0 + 30 Combine like terms: 0 + 30 = 30 40a + 20b = 30 Add '-20b' to each side of the equation. 40a + 20b + -20b = 30 + -20b Combine like terms: 20b + -20b = 0 40a + 0 = 30 + -20b 40a = 30 + -20b Divide each side by '40'. a = 0.75 + -0.5b Simplifying a = 0.75 + -0.5b
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