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