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