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Simplifying 8(5 + 3a) + 9 = -65 (5 * 8 + 3a * 8) + 9 = -65 (40 + 24a) + 9 = -65 Reorder the terms: 40 + 9 + 24a = -65 Combine like terms: 40 + 9 = 49 49 + 24a = -65 Solving 49 + 24a = -65 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 24a = -65 + -49 Combine like terms: 49 + -49 = 0 0 + 24a = -65 + -49 24a = -65 + -49 Combine like terms: -65 + -49 = -114 24a = -114 Divide each side by '24'. a = -4.75 Simplifying a = -4.75
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