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Simplifying -32 = -9(3a + 5) Reorder the terms: -32 = -9(5 + 3a) -32 = (5 * -9 + 3a * -9) -32 = (-45 + -27a) Solving -32 = -45 + -27a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '27a' to each side of the equation. -32 + 27a = -45 + -27a + 27a Combine like terms: -27a + 27a = 0 -32 + 27a = -45 + 0 -32 + 27a = -45 Add '32' to each side of the equation. -32 + 32 + 27a = -45 + 32 Combine like terms: -32 + 32 = 0 0 + 27a = -45 + 32 27a = -45 + 32 Combine like terms: -45 + 32 = -13 27a = -13 Divide each side by '27'. a = -0.4814814815 Simplifying a = -0.4814814815
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