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Simplifying 6k + -2 = 2(k + 5) Reorder the terms: -2 + 6k = 2(k + 5) Reorder the terms: -2 + 6k = 2(5 + k) -2 + 6k = (5 * 2 + k * 2) -2 + 6k = (10 + 2k) Solving -2 + 6k = 10 + 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 = 10 + 2k + -2k Combine like terms: 6k + -2k = 4k -2 + 4k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -2 + 4k = 10 + 0 -2 + 4k = 10 Add '2' to each side of the equation. -2 + 2 + 4k = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 10 + 2 4k = 10 + 2 Combine like terms: 10 + 2 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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