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