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Simplifying 6k + -5 = 2k + 7 Reorder the terms: -5 + 6k = 2k + 7 Reorder the terms: -5 + 6k = 7 + 2k Solving -5 + 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. -5 + 6k + -2k = 7 + 2k + -2k Combine like terms: 6k + -2k = 4k -5 + 4k = 7 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + 4k = 7 + 0 -5 + 4k = 7 Add '5' to each side of the equation. -5 + 5 + 4k = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 4k = 7 + 5 4k = 7 + 5 Combine like terms: 7 + 5 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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