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Simplifying -7(4 + 6k) = 224 (4 * -7 + 6k * -7) = 224 (-28 + -42k) = 224 Solving -28 + -42k = 224 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -42k = 224 + 28 Combine like terms: -28 + 28 = 0 0 + -42k = 224 + 28 -42k = 224 + 28 Combine like terms: 224 + 28 = 252 -42k = 252 Divide each side by '-42'. k = -6 Simplifying k = -6
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