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Simplifying 33 = -6(9k + -7) Reorder the terms: 33 = -6(-7 + 9k) 33 = (-7 * -6 + 9k * -6) 33 = (42 + -54k) Solving 33 = 42 + -54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54k' to each side of the equation. 33 + 54k = 42 + -54k + 54k Combine like terms: -54k + 54k = 0 33 + 54k = 42 + 0 33 + 54k = 42 Add '-33' to each side of the equation. 33 + -33 + 54k = 42 + -33 Combine like terms: 33 + -33 = 0 0 + 54k = 42 + -33 54k = 42 + -33 Combine like terms: 42 + -33 = 9 54k = 9 Divide each side by '54'. k = 0.1666666667 Simplifying k = 0.1666666667
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