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Simplifying -24 = -9 + 4(a + 6) Reorder the terms: -24 = -9 + 4(6 + a) -24 = -9 + (6 * 4 + a * 4) -24 = -9 + (24 + 4a) Combine like terms: -9 + 24 = 15 -24 = 15 + 4a Solving -24 = 15 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -24 + -4a = 15 + 4a + -4a Combine like terms: 4a + -4a = 0 -24 + -4a = 15 + 0 -24 + -4a = 15 Add '24' to each side of the equation. -24 + 24 + -4a = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -4a = 15 + 24 -4a = 15 + 24 Combine like terms: 15 + 24 = 39 -4a = 39 Divide each side by '-4'. a = -9.75 Simplifying a = -9.75
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