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Simplifying -1(7k + -4) + -1k = 10k + -2 Reorder the terms: -1(-4 + 7k) + -1k = 10k + -2 (-4 * -1 + 7k * -1) + -1k = 10k + -2 (4 + -7k) + -1k = 10k + -2 Combine like terms: -7k + -1k = -8k 4 + -8k = 10k + -2 Reorder the terms: 4 + -8k = -2 + 10k Solving 4 + -8k = -2 + 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. 4 + -8k + -10k = -2 + 10k + -10k Combine like terms: -8k + -10k = -18k 4 + -18k = -2 + 10k + -10k Combine like terms: 10k + -10k = 0 4 + -18k = -2 + 0 4 + -18k = -2 Add '-4' to each side of the equation. 4 + -4 + -18k = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -18k = -2 + -4 -18k = -2 + -4 Combine like terms: -2 + -4 = -6 -18k = -6 Divide each side by '-18'. k = 0.3333333333 Simplifying k = 0.3333333333
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