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Simplifying -18 + -6k = 6(7 + 9k) -18 + -6k = (7 * 6 + 9k * 6) -18 + -6k = (42 + 54k) Solving -18 + -6k = 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. -18 + -6k + -54k = 42 + 54k + -54k Combine like terms: -6k + -54k = -60k -18 + -60k = 42 + 54k + -54k Combine like terms: 54k + -54k = 0 -18 + -60k = 42 + 0 -18 + -60k = 42 Add '18' to each side of the equation. -18 + 18 + -60k = 42 + 18 Combine like terms: -18 + 18 = 0 0 + -60k = 42 + 18 -60k = 42 + 18 Combine like terms: 42 + 18 = 60 -60k = 60 Divide each side by '-60'. k = -1 Simplifying k = -1
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