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Simplifying 6k + -42 = 9k Reorder the terms: -42 + 6k = 9k Solving -42 + 6k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -42 + 6k + -9k = 9k + -9k Combine like terms: 6k + -9k = -3k -42 + -3k = 9k + -9k Combine like terms: 9k + -9k = 0 -42 + -3k = 0 Add '42' to each side of the equation. -42 + 42 + -3k = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -3k = 0 + 42 -3k = 0 + 42 Combine like terms: 0 + 42 = 42 -3k = 42 Divide each side by '-3'. k = -14 Simplifying k = -14
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