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Simplifying 3(a + 22) = 12a + 2k Reorder the terms: 3(22 + a) = 12a + 2k (22 * 3 + a * 3) = 12a + 2k (66 + 3a) = 12a + 2k Solving 66 + 3a = 12a + 2k Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 66 + 3a + -12a = 12a + -12a + 2k Combine like terms: 3a + -12a = -9a 66 + -9a = 12a + -12a + 2k Combine like terms: 12a + -12a = 0 66 + -9a = 0 + 2k 66 + -9a = 2k Add '-66' to each side of the equation. 66 + -66 + -9a = -66 + 2k Combine like terms: 66 + -66 = 0 0 + -9a = -66 + 2k -9a = -66 + 2k Divide each side by '-9'. a = 7.333333333 + -0.2222222222k Simplifying a = 7.333333333 + -0.2222222222k
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