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Simplifying -3k + 7(4 + -2k) = 164 -3k + (4 * 7 + -2k * 7) = 164 -3k + (28 + -14k) = 164 Reorder the terms: 28 + -3k + -14k = 164 Combine like terms: -3k + -14k = -17k 28 + -17k = 164 Solving 28 + -17k = 164 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -17k = 164 + -28 Combine like terms: 28 + -28 = 0 0 + -17k = 164 + -28 -17k = 164 + -28 Combine like terms: 164 + -28 = 136 -17k = 136 Divide each side by '-17'. k = -8 Simplifying k = -8
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