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Simplifying -7(8k + 3) = -21 + -1k Reorder the terms: -7(3 + 8k) = -21 + -1k (3 * -7 + 8k * -7) = -21 + -1k (-21 + -56k) = -21 + -1k Add '21' to each side of the equation. -21 + 21 + -56k = -21 + 21 + -1k Combine like terms: -21 + 21 = 0 0 + -56k = -21 + 21 + -1k -56k = -21 + 21 + -1k Combine like terms: -21 + 21 = 0 -56k = 0 + -1k -56k = -1k Solving -56k = -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. -56k + k = -1k + k Combine like terms: -56k + k = -55k -55k = -1k + k Combine like terms: -1k + k = 0 -55k = 0 Divide each side by '-55'. k = 0 Simplifying k = 0
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