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Simplifying 44 = 5(3k + 2) + 2k Reorder the terms: 44 = 5(2 + 3k) + 2k 44 = (2 * 5 + 3k * 5) + 2k 44 = (10 + 15k) + 2k Combine like terms: 15k + 2k = 17k 44 = 10 + 17k Solving 44 = 10 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 44 + -17k = 10 + 17k + -17k Combine like terms: 17k + -17k = 0 44 + -17k = 10 + 0 44 + -17k = 10 Add '-44' to each side of the equation. 44 + -44 + -17k = 10 + -44 Combine like terms: 44 + -44 = 0 0 + -17k = 10 + -44 -17k = 10 + -44 Combine like terms: 10 + -44 = -34 -17k = -34 Divide each side by '-17'. k = 2 Simplifying k = 2
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