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Simplifying -21 = k + -1 + -6k Reorder the terms: -21 = -1 + k + -6k Combine like terms: k + -6k = -5k -21 = -1 + -5k Solving -21 = -1 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -21 + 5k = -1 + -5k + 5k Combine like terms: -5k + 5k = 0 -21 + 5k = -1 + 0 -21 + 5k = -1 Add '21' to each side of the equation. -21 + 21 + 5k = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 5k = -1 + 21 5k = -1 + 21 Combine like terms: -1 + 21 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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