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Simplifying -224 = -7(8k + 8) Reorder the terms: -224 = -7(8 + 8k) -224 = (8 * -7 + 8k * -7) -224 = (-56 + -56k) Solving -224 = -56 + -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. -224 + 56k = -56 + -56k + 56k Combine like terms: -56k + 56k = 0 -224 + 56k = -56 + 0 -224 + 56k = -56 Add '224' to each side of the equation. -224 + 224 + 56k = -56 + 224 Combine like terms: -224 + 224 = 0 0 + 56k = -56 + 224 56k = -56 + 224 Combine like terms: -56 + 224 = 168 56k = 168 Divide each side by '56'. k = 3 Simplifying k = 3
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