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Simplifying 6k + 7 = 2k + 8 Reorder the terms: 7 + 6k = 2k + 8 Reorder the terms: 7 + 6k = 8 + 2k Solving 7 + 6k = 8 + 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 + 6k + -2k = 8 + 2k + -2k Combine like terms: 6k + -2k = 4k 7 + 4k = 8 + 2k + -2k Combine like terms: 2k + -2k = 0 7 + 4k = 8 + 0 7 + 4k = 8 Add '-7' to each side of the equation. 7 + -7 + 4k = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 4k = 8 + -7 4k = 8 + -7 Combine like terms: 8 + -7 = 1 4k = 1 Divide each side by '4'. k = 0.25 Simplifying k = 0.25
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