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Simplifying 2(4 + -1k) + k = 7 (4 * 2 + -1k * 2) + k = 7 (8 + -2k) + k = 7 Combine like terms: -2k + k = -1k 8 + -1k = 7 Solving 8 + -1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1k = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -1k = 7 + -8 -1k = 7 + -8 Combine like terms: 7 + -8 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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