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Simplifying -7(6k + -3) = 21 + -1k Reorder the terms: -7(-3 + 6k) = 21 + -1k (-3 * -7 + 6k * -7) = 21 + -1k (21 + -42k) = 21 + -1k Add '-21' to each side of the equation. 21 + -21 + -42k = 21 + -21 + -1k Combine like terms: 21 + -21 = 0 0 + -42k = 21 + -21 + -1k -42k = 21 + -21 + -1k Combine like terms: 21 + -21 = 0 -42k = 0 + -1k -42k = -1k Solving -42k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -42k + k = -1k + k Combine like terms: -42k + k = -41k -41k = -1k + k Combine like terms: -1k + k = 0 -41k = 0 Divide each side by '-41'. k = 0 Simplifying k = 0
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