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Simplifying 9(5a + -3) = -24 + -7a Reorder the terms: 9(-3 + 5a) = -24 + -7a (-3 * 9 + 5a * 9) = -24 + -7a (-27 + 45a) = -24 + -7a Solving -27 + 45a = -24 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -27 + 45a + 7a = -24 + -7a + 7a Combine like terms: 45a + 7a = 52a -27 + 52a = -24 + -7a + 7a Combine like terms: -7a + 7a = 0 -27 + 52a = -24 + 0 -27 + 52a = -24 Add '27' to each side of the equation. -27 + 27 + 52a = -24 + 27 Combine like terms: -27 + 27 = 0 0 + 52a = -24 + 27 52a = -24 + 27 Combine like terms: -24 + 27 = 3 52a = 3 Divide each side by '52'. a = 0.05769230769 Simplifying a = 0.05769230769
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