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Simplifying 224 = -8(2 + 6k) 224 = (2 * -8 + 6k * -8) 224 = (-16 + -48k) Solving 224 = -16 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. 224 + 48k = -16 + -48k + 48k Combine like terms: -48k + 48k = 0 224 + 48k = -16 + 0 224 + 48k = -16 Add '-224' to each side of the equation. 224 + -224 + 48k = -16 + -224 Combine like terms: 224 + -224 = 0 0 + 48k = -16 + -224 48k = -16 + -224 Combine like terms: -16 + -224 = -240 48k = -240 Divide each side by '48'. k = -5 Simplifying k = -5
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