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Simplifying 7 + -2k + 1 = -6 Reorder the terms: 7 + 1 + -2k = -6 Combine like terms: 7 + 1 = 8 8 + -2k = -6 Solving 8 + -2k = -6 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 + -2k = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = -6 + -8 -2k = -6 + -8 Combine like terms: -6 + -8 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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