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Simplifying 15 + -2(a + -5) = 9a + 24 Reorder the terms: 15 + -2(-5 + a) = 9a + 24 15 + (-5 * -2 + a * -2) = 9a + 24 15 + (10 + -2a) = 9a + 24 Combine like terms: 15 + 10 = 25 25 + -2a = 9a + 24 Reorder the terms: 25 + -2a = 24 + 9a Solving 25 + -2a = 24 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 25 + -2a + -9a = 24 + 9a + -9a Combine like terms: -2a + -9a = -11a 25 + -11a = 24 + 9a + -9a Combine like terms: 9a + -9a = 0 25 + -11a = 24 + 0 25 + -11a = 24 Add '-25' to each side of the equation. 25 + -25 + -11a = 24 + -25 Combine like terms: 25 + -25 = 0 0 + -11a = 24 + -25 -11a = 24 + -25 Combine like terms: 24 + -25 = -1 -11a = -1 Divide each side by '-11'. a = 0.09090909091 Simplifying a = 0.09090909091
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