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Simplifying (12a + 18k) + (15a + -33k) = 0 Remove parenthesis around (12a + 18k) 12a + 18k + (15a + -33k) = 0 Remove parenthesis around (15a + -33k) 12a + 18k + 15a + -33k = 0 Reorder the terms: 12a + 15a + 18k + -33k = 0 Combine like terms: 12a + 15a = 27a 27a + 18k + -33k = 0 Combine like terms: 18k + -33k = -15k 27a + -15k = 0 Solving 27a + -15k = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15k' to each side of the equation. 27a + -15k + 15k = 0 + 15k Combine like terms: -15k + 15k = 0 27a + 0 = 0 + 15k 27a = 0 + 15k Remove the zero: 27a = 15k Divide each side by '27'. a = 0.5555555556k Simplifying a = 0.5555555556k
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