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Simplifying 27 + 2k = -7k + 7(-3 + 3k) 27 + 2k = -7k + (-3 * 7 + 3k * 7) 27 + 2k = -7k + (-21 + 21k) Reorder the terms: 27 + 2k = -21 + -7k + 21k Combine like terms: -7k + 21k = 14k 27 + 2k = -21 + 14k Solving 27 + 2k = -21 + 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. 27 + 2k + -14k = -21 + 14k + -14k Combine like terms: 2k + -14k = -12k 27 + -12k = -21 + 14k + -14k Combine like terms: 14k + -14k = 0 27 + -12k = -21 + 0 27 + -12k = -21 Add '-27' to each side of the equation. 27 + -27 + -12k = -21 + -27 Combine like terms: 27 + -27 = 0 0 + -12k = -21 + -27 -12k = -21 + -27 Combine like terms: -21 + -27 = -48 -12k = -48 Divide each side by '-12'. k = 4 Simplifying k = 4
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