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Simplifying 3k + -5(2k + 2) = -6k + -6 Reorder the terms: 3k + -5(2 + 2k) = -6k + -6 3k + (2 * -5 + 2k * -5) = -6k + -6 3k + (-10 + -10k) = -6k + -6 Reorder the terms: -10 + 3k + -10k = -6k + -6 Combine like terms: 3k + -10k = -7k -10 + -7k = -6k + -6 Reorder the terms: -10 + -7k = -6 + -6k Solving -10 + -7k = -6 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -10 + -7k + 6k = -6 + -6k + 6k Combine like terms: -7k + 6k = -1k -10 + -1k = -6 + -6k + 6k Combine like terms: -6k + 6k = 0 -10 + -1k = -6 + 0 -10 + -1k = -6 Add '10' to each side of the equation. -10 + 10 + -1k = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = -6 + 10 -1k = -6 + 10 Combine like terms: -6 + 10 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4
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