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Simplifying 42 = k + 9 Reorder the terms: 42 = 9 + k Solving 42 = 9 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 42 + -1k = 9 + k + -1k Combine like terms: k + -1k = 0 42 + -1k = 9 + 0 42 + -1k = 9 Add '-42' to each side of the equation. 42 + -42 + -1k = 9 + -42 Combine like terms: 42 + -42 = 0 0 + -1k = 9 + -42 -1k = 9 + -42 Combine like terms: 9 + -42 = -33 -1k = -33 Divide each side by '-1'. k = 33 Simplifying k = 33
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