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Simplifying 6k + 18 = 8k + 10 Reorder the terms: 18 + 6k = 8k + 10 Reorder the terms: 18 + 6k = 10 + 8k Solving 18 + 6k = 10 + 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. 18 + 6k + -8k = 10 + 8k + -8k Combine like terms: 6k + -8k = -2k 18 + -2k = 10 + 8k + -8k Combine like terms: 8k + -8k = 0 18 + -2k = 10 + 0 18 + -2k = 10 Add '-18' to each side of the equation. 18 + -18 + -2k = 10 + -18 Combine like terms: 18 + -18 = 0 0 + -2k = 10 + -18 -2k = 10 + -18 Combine like terms: 10 + -18 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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