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Simplifying 6k + 6 = 8k + 13 Reorder the terms: 6 + 6k = 8k + 13 Reorder the terms: 6 + 6k = 13 + 8k Solving 6 + 6k = 13 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 6 + 6k + -8k = 13 + 8k + -8k Combine like terms: 6k + -8k = -2k 6 + -2k = 13 + 8k + -8k Combine like terms: 8k + -8k = 0 6 + -2k = 13 + 0 6 + -2k = 13 Add '-6' to each side of the equation. 6 + -6 + -2k = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 13 + -6 -2k = 13 + -6 Combine like terms: 13 + -6 = 7 -2k = 7 Divide each side by '-2'. k = -3.5 Simplifying k = -3.5
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