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Simplifying 41 = 9 + -4k Solving 41 = 9 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 41 + 4k = 9 + -4k + 4k Combine like terms: -4k + 4k = 0 41 + 4k = 9 + 0 41 + 4k = 9 Add '-41' to each side of the equation. 41 + -41 + 4k = 9 + -41 Combine like terms: 41 + -41 = 0 0 + 4k = 9 + -41 4k = 9 + -41 Combine like terms: 9 + -41 = -32 4k = -32 Divide each side by '4'. k = -8 Simplifying k = -8
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