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