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Simplifying -40 + 6k = 4 + 7(8k + 8) Reorder the terms: -40 + 6k = 4 + 7(8 + 8k) -40 + 6k = 4 + (8 * 7 + 8k * 7) -40 + 6k = 4 + (56 + 56k) Combine like terms: 4 + 56 = 60 -40 + 6k = 60 + 56k Solving -40 + 6k = 60 + 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. -40 + 6k + -56k = 60 + 56k + -56k Combine like terms: 6k + -56k = -50k -40 + -50k = 60 + 56k + -56k Combine like terms: 56k + -56k = 0 -40 + -50k = 60 + 0 -40 + -50k = 60 Add '40' to each side of the equation. -40 + 40 + -50k = 60 + 40 Combine like terms: -40 + 40 = 0 0 + -50k = 60 + 40 -50k = 60 + 40 Combine like terms: 60 + 40 = 100 -50k = 100 Divide each side by '-50'. k = -2 Simplifying k = -2
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