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Simplifying (7 + -1k) * 3 = (-3 + 3k) Reorder the terms for easier multiplication: 3(7 + -1k) = (-3 + 3k) (7 * 3 + -1k * 3) = (-3 + 3k) (21 + -3k) = (-3 + 3k) Remove parenthesis around (-3 + 3k) 21 + -3k = -3 + 3k Solving 21 + -3k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 21 + -3k + -3k = -3 + 3k + -3k Combine like terms: -3k + -3k = -6k 21 + -6k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 21 + -6k = -3 + 0 21 + -6k = -3 Add '-21' to each side of the equation. 21 + -21 + -6k = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -6k = -3 + -21 -6k = -3 + -21 Combine like terms: -3 + -21 = -24 -6k = -24 Divide each side by '-6'. k = 4 Simplifying k = 4
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