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Simplifying -23 = 11k + -1(3 + k) -23 = 11k + (3 * -1 + k * -1) -23 = 11k + (-3 + -1k) Reorder the terms: -23 = -3 + 11k + -1k Combine like terms: 11k + -1k = 10k -23 = -3 + 10k Solving -23 = -3 + 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. -23 + -10k = -3 + 10k + -10k Combine like terms: 10k + -10k = 0 -23 + -10k = -3 + 0 -23 + -10k = -3 Add '23' to each side of the equation. -23 + 23 + -10k = -3 + 23 Combine like terms: -23 + 23 = 0 0 + -10k = -3 + 23 -10k = -3 + 23 Combine like terms: -3 + 23 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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