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Simplifying 6 + 3k = 5 + 5k Solving 6 + 3k = 5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 6 + 3k + -5k = 5 + 5k + -5k Combine like terms: 3k + -5k = -2k 6 + -2k = 5 + 5k + -5k Combine like terms: 5k + -5k = 0 6 + -2k = 5 + 0 6 + -2k = 5 Add '-6' to each side of the equation. 6 + -6 + -2k = 5 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = 5 + -6 -2k = 5 + -6 Combine like terms: 5 + -6 = -1 -2k = -1 Divide each side by '-2'. k = 0.5 Simplifying k = 0.5
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