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Simplifying (10k + 8) + -1(k + 3) = 0 Reorder the terms: (8 + 10k) + -1(k + 3) = 0 Remove parenthesis around (8 + 10k) 8 + 10k + -1(k + 3) = 0 Reorder the terms: 8 + 10k + -1(3 + k) = 0 8 + 10k + (3 * -1 + k * -1) = 0 8 + 10k + (-3 + -1k) = 0 Reorder the terms: 8 + -3 + 10k + -1k = 0 Combine like terms: 8 + -3 = 5 5 + 10k + -1k = 0 Combine like terms: 10k + -1k = 9k 5 + 9k = 0 Solving 5 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9k = 0 + -5 9k = 0 + -5 Combine like terms: 0 + -5 = -5 9k = -5 Divide each side by '9'. k = -0.5555555556 Simplifying k = -0.5555555556
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