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Simplifying 3k + 7 = 6k + -5 Reorder the terms: 7 + 3k = 6k + -5 Reorder the terms: 7 + 3k = -5 + 6k Solving 7 + 3k = -5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 7 + 3k + -6k = -5 + 6k + -6k Combine like terms: 3k + -6k = -3k 7 + -3k = -5 + 6k + -6k Combine like terms: 6k + -6k = 0 7 + -3k = -5 + 0 7 + -3k = -5 Add '-7' to each side of the equation. 7 + -7 + -3k = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = -5 + -7 -3k = -5 + -7 Combine like terms: -5 + -7 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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