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Simplifying 9(2 + a) = (a + 14) * 3 (2 * 9 + a * 9) = (a + 14) * 3 (18 + 9a) = (a + 14) * 3 Reorder the terms: 18 + 9a = (14 + a) * 3 Reorder the terms for easier multiplication: 18 + 9a = 3(14 + a) 18 + 9a = (14 * 3 + a * 3) 18 + 9a = (42 + 3a) Solving 18 + 9a = 42 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 18 + 9a + -3a = 42 + 3a + -3a Combine like terms: 9a + -3a = 6a 18 + 6a = 42 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + 6a = 42 + 0 18 + 6a = 42 Add '-18' to each side of the equation. 18 + -18 + 6a = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 6a = 42 + -18 6a = 42 + -18 Combine like terms: 42 + -18 = 24 6a = 24 Divide each side by '6'. a = 4 Simplifying a = 4
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