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Simplifying 9(6a + -5) = -20 + -3a Reorder the terms: 9(-5 + 6a) = -20 + -3a (-5 * 9 + 6a * 9) = -20 + -3a (-45 + 54a) = -20 + -3a Solving -45 + 54a = -20 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -45 + 54a + 3a = -20 + -3a + 3a Combine like terms: 54a + 3a = 57a -45 + 57a = -20 + -3a + 3a Combine like terms: -3a + 3a = 0 -45 + 57a = -20 + 0 -45 + 57a = -20 Add '45' to each side of the equation. -45 + 45 + 57a = -20 + 45 Combine like terms: -45 + 45 = 0 0 + 57a = -20 + 45 57a = -20 + 45 Combine like terms: -20 + 45 = 25 57a = 25 Divide each side by '57'. a = 0.4385964912 Simplifying a = 0.4385964912
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