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Simplifying 5 + -1(4 + -1k) = -10k 5 + (4 * -1 + -1k * -1) = -10k 5 + (-4 + 1k) = -10k Combine like terms: 5 + -4 = 1 1 + 1k = -10k Solving 1 + 1k = -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 1 + 1k + 10k = -10k + 10k Combine like terms: 1k + 10k = 11k 1 + 11k = -10k + 10k Combine like terms: -10k + 10k = 0 1 + 11k = 0 Add '-1' to each side of the equation. 1 + -1 + 11k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11k = 0 + -1 11k = 0 + -1 Combine like terms: 0 + -1 = -1 11k = -1 Divide each side by '11'. k = -0.09090909091 Simplifying k = -0.09090909091
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