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Simplifying -8 + 8k = 8(7k + 5) Reorder the terms: -8 + 8k = 8(5 + 7k) -8 + 8k = (5 * 8 + 7k * 8) -8 + 8k = (40 + 56k) Solving -8 + 8k = 40 + 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. -8 + 8k + -56k = 40 + 56k + -56k Combine like terms: 8k + -56k = -48k -8 + -48k = 40 + 56k + -56k Combine like terms: 56k + -56k = 0 -8 + -48k = 40 + 0 -8 + -48k = 40 Add '8' to each side of the equation. -8 + 8 + -48k = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -48k = 40 + 8 -48k = 40 + 8 Combine like terms: 40 + 8 = 48 -48k = 48 Divide each side by '-48'. k = -1 Simplifying k = -1
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