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Simplifying -47 = k + (-21) -47 = k + -21 Reorder the terms: -47 = -21 + k Solving -47 = -21 + 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. -47 + -1k = -21 + k + -1k Combine like terms: k + -1k = 0 -47 + -1k = -21 + 0 -47 + -1k = -21 Add '47' to each side of the equation. -47 + 47 + -1k = -21 + 47 Combine like terms: -47 + 47 = 0 0 + -1k = -21 + 47 -1k = -21 + 47 Combine like terms: -21 + 47 = 26 -1k = 26 Divide each side by '-1'. k = -26 Simplifying k = -26
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