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Simplifying 7 = 8k + -3 + -6k Reorder the terms: 7 = -3 + 8k + -6k Combine like terms: 8k + -6k = 2k 7 = -3 + 2k Solving 7 = -3 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 7 + -2k = -3 + 2k + -2k Combine like terms: 2k + -2k = 0 7 + -2k = -3 + 0 7 + -2k = -3 Add '-7' to each side of the equation. 7 + -7 + -2k = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = -3 + -7 -2k = -3 + -7 Combine like terms: -3 + -7 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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