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Simplifying 6(a + 6) = 9a + 24 Reorder the terms: 6(6 + a) = 9a + 24 (6 * 6 + a * 6) = 9a + 24 (36 + 6a) = 9a + 24 Reorder the terms: 36 + 6a = 24 + 9a Solving 36 + 6a = 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. 36 + 6a + -9a = 24 + 9a + -9a Combine like terms: 6a + -9a = -3a 36 + -3a = 24 + 9a + -9a Combine like terms: 9a + -9a = 0 36 + -3a = 24 + 0 36 + -3a = 24 Add '-36' to each side of the equation. 36 + -36 + -3a = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -3a = 24 + -36 -3a = 24 + -36 Combine like terms: 24 + -36 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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