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Simplifying -24 = -6 + 5(a + 9) Reorder the terms: -24 = -6 + 5(9 + a) -24 = -6 + (9 * 5 + a * 5) -24 = -6 + (45 + 5a) Combine like terms: -6 + 45 = 39 -24 = 39 + 5a Solving -24 = 39 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -24 + -5a = 39 + 5a + -5a Combine like terms: 5a + -5a = 0 -24 + -5a = 39 + 0 -24 + -5a = 39 Add '24' to each side of the equation. -24 + 24 + -5a = 39 + 24 Combine like terms: -24 + 24 = 0 0 + -5a = 39 + 24 -5a = 39 + 24 Combine like terms: 39 + 24 = 63 -5a = 63 Divide each side by '-5'. a = -12.6 Simplifying a = -12.6
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