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Simplifying 5 + k = -9(4 + -4k) + 6k 5 + k = (4 * -9 + -4k * -9) + 6k 5 + k = (-36 + 36k) + 6k Combine like terms: 36k + 6k = 42k 5 + k = -36 + 42k Solving 5 + k = -36 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. 5 + k + -42k = -36 + 42k + -42k Combine like terms: k + -42k = -41k 5 + -41k = -36 + 42k + -42k Combine like terms: 42k + -42k = 0 5 + -41k = -36 + 0 5 + -41k = -36 Add '-5' to each side of the equation. 5 + -5 + -41k = -36 + -5 Combine like terms: 5 + -5 = 0 0 + -41k = -36 + -5 -41k = -36 + -5 Combine like terms: -36 + -5 = -41 -41k = -41 Divide each side by '-41'. k = 1 Simplifying k = 1
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