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Simplifying k + -2 + 5k = 2(k + 3) Reorder the terms: -2 + k + 5k = 2(k + 3) Combine like terms: k + 5k = 6k -2 + 6k = 2(k + 3) Reorder the terms: -2 + 6k = 2(3 + k) -2 + 6k = (3 * 2 + k * 2) -2 + 6k = (6 + 2k) Solving -2 + 6k = 6 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -2 + 6k + -2k = 6 + 2k + -2k Combine like terms: 6k + -2k = 4k -2 + 4k = 6 + 2k + -2k Combine like terms: 2k + -2k = 0 -2 + 4k = 6 + 0 -2 + 4k = 6 Add '2' to each side of the equation. -2 + 2 + 4k = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 6 + 2 4k = 6 + 2 Combine like terms: 6 + 2 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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