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Simplifying 21 = k + -1(-8) Multiply -1 * -8 21 = k + 8 Reorder the terms: 21 = 8 + k Solving 21 = 8 + 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. 21 + -1k = 8 + k + -1k Combine like terms: k + -1k = 0 21 + -1k = 8 + 0 21 + -1k = 8 Add '-21' to each side of the equation. 21 + -21 + -1k = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -1k = 8 + -21 -1k = 8 + -21 Combine like terms: 8 + -21 = -13 -1k = -13 Divide each side by '-1'. k = 13 Simplifying k = 13
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