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Simplifying 9(1k + -2) = 3(1 + 4) Reorder the terms: 9(-2 + 1k) = 3(1 + 4) (-2 * 9 + 1k * 9) = 3(1 + 4) (-18 + 9k) = 3(1 + 4) Combine like terms: 1 + 4 = 5 -18 + 9k = 3(5) Multiply 3 * 5 -18 + 9k = 15 Solving -18 + 9k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9k = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 9k = 15 + 18 9k = 15 + 18 Combine like terms: 15 + 18 = 33 9k = 33 Divide each side by '9'. k = 3.666666667 Simplifying k = 3.666666667
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