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Simplifying 6(-3k + 9) + 7 = 0 Reorder the terms: 6(9 + -3k) + 7 = 0 (9 * 6 + -3k * 6) + 7 = 0 (54 + -18k) + 7 = 0 Reorder the terms: 54 + 7 + -18k = 0 Combine like terms: 54 + 7 = 61 61 + -18k = 0 Solving 61 + -18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -18k = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -18k = 0 + -61 -18k = 0 + -61 Combine like terms: 0 + -61 = -61 -18k = -61 Divide each side by '-18'. k = 3.388888889 Simplifying k = 3.388888889
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