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Simplifying 224 = 8(9 + k) 224 = (9 * 8 + k * 8) 224 = (72 + 8k) Solving 224 = 72 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 224 + -8k = 72 + 8k + -8k Combine like terms: 8k + -8k = 0 224 + -8k = 72 + 0 224 + -8k = 72 Add '-224' to each side of the equation. 224 + -224 + -8k = 72 + -224 Combine like terms: 224 + -224 = 0 0 + -8k = 72 + -224 -8k = 72 + -224 Combine like terms: 72 + -224 = -152 -8k = -152 Divide each side by '-8'. k = 19 Simplifying k = 19
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