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Simplifying 7(3 + 3k) = 7(-6 + 2k) (3 * 7 + 3k * 7) = 7(-6 + 2k) (21 + 21k) = 7(-6 + 2k) 21 + 21k = (-6 * 7 + 2k * 7) 21 + 21k = (-42 + 14k) Solving 21 + 21k = -42 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 21 + 21k + -14k = -42 + 14k + -14k Combine like terms: 21k + -14k = 7k 21 + 7k = -42 + 14k + -14k Combine like terms: 14k + -14k = 0 21 + 7k = -42 + 0 21 + 7k = -42 Add '-21' to each side of the equation. 21 + -21 + 7k = -42 + -21 Combine like terms: 21 + -21 = 0 0 + 7k = -42 + -21 7k = -42 + -21 Combine like terms: -42 + -21 = -63 7k = -63 Divide each side by '7'. k = -9 Simplifying k = -9
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