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Simplifying -4 = k + -7 + 1 Reorder the terms: -4 = -7 + 1 + k Combine like terms: -7 + 1 = -6 -4 = -6 + k Solving -4 = -6 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -4 + -1k = -6 + k + -1k Combine like terms: k + -1k = 0 -4 + -1k = -6 + 0 -4 + -1k = -6 Add '4' to each side of the equation. -4 + 4 + -1k = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = -6 + 4 -1k = -6 + 4 Combine like terms: -6 + 4 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2
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