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Simplifying 4k + -4 = 8(7k + 6) Reorder the terms: -4 + 4k = 8(7k + 6) Reorder the terms: -4 + 4k = 8(6 + 7k) -4 + 4k = (6 * 8 + 7k * 8) -4 + 4k = (48 + 56k) Solving -4 + 4k = 48 + 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. -4 + 4k + -56k = 48 + 56k + -56k Combine like terms: 4k + -56k = -52k -4 + -52k = 48 + 56k + -56k Combine like terms: 56k + -56k = 0 -4 + -52k = 48 + 0 -4 + -52k = 48 Add '4' to each side of the equation. -4 + 4 + -52k = 48 + 4 Combine like terms: -4 + 4 = 0 0 + -52k = 48 + 4 -52k = 48 + 4 Combine like terms: 48 + 4 = 52 -52k = 52 Divide each side by '-52'. k = -1 Simplifying k = -1
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