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Simplifying 33 + 9k = 6(7k + -3) Reorder the terms: 33 + 9k = 6(-3 + 7k) 33 + 9k = (-3 * 6 + 7k * 6) 33 + 9k = (-18 + 42k) Solving 33 + 9k = -18 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 33 + 9k + -42k = -18 + 42k + -42k Combine like terms: 9k + -42k = -33k 33 + -33k = -18 + 42k + -42k Combine like terms: 42k + -42k = 0 33 + -33k = -18 + 0 33 + -33k = -18 Add '-33' to each side of the equation. 33 + -33 + -33k = -18 + -33 Combine like terms: 33 + -33 = 0 0 + -33k = -18 + -33 -33k = -18 + -33 Combine like terms: -18 + -33 = -51 -33k = -51 Divide each side by '-33'. k = 1.545454545 Simplifying k = 1.545454545
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