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Simplifying 5(12 + 10k) + 10k = -10 + -10k (12 * 5 + 10k * 5) + 10k = -10 + -10k (60 + 50k) + 10k = -10 + -10k Combine like terms: 50k + 10k = 60k 60 + 60k = -10 + -10k Solving 60 + 60k = -10 + -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. 60 + 60k + 10k = -10 + -10k + 10k Combine like terms: 60k + 10k = 70k 60 + 70k = -10 + -10k + 10k Combine like terms: -10k + 10k = 0 60 + 70k = -10 + 0 60 + 70k = -10 Add '-60' to each side of the equation. 60 + -60 + 70k = -10 + -60 Combine like terms: 60 + -60 = 0 0 + 70k = -10 + -60 70k = -10 + -60 Combine like terms: -10 + -60 = -70 70k = -70 Divide each side by '70'. k = -1 Simplifying k = -1
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