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Simplifying 10k + 2(-5 + -7k) = 5k + 6 10k + (-5 * 2 + -7k * 2) = 5k + 6 10k + (-10 + -14k) = 5k + 6 Reorder the terms: -10 + 10k + -14k = 5k + 6 Combine like terms: 10k + -14k = -4k -10 + -4k = 5k + 6 Reorder the terms: -10 + -4k = 6 + 5k Solving -10 + -4k = 6 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -10 + -4k + -5k = 6 + 5k + -5k Combine like terms: -4k + -5k = -9k -10 + -9k = 6 + 5k + -5k Combine like terms: 5k + -5k = 0 -10 + -9k = 6 + 0 -10 + -9k = 6 Add '10' to each side of the equation. -10 + 10 + -9k = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -9k = 6 + 10 -9k = 6 + 10 Combine like terms: 6 + 10 = 16 -9k = 16 Divide each side by '-9'. k = -1.777777778 Simplifying k = -1.777777778
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