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Simplifying 7 = 8k + 5 + -6 Reorder the terms: 7 = 5 + -6 + 8k Combine like terms: 5 + -6 = -1 7 = -1 + 8k Solving 7 = -1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 7 + -8k = -1 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -8k = -1 + 0 7 + -8k = -1 Add '-7' to each side of the equation. 7 + -7 + -8k = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -8k = -1 + -7 -8k = -1 + -7 Combine like terms: -1 + -7 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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