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Simplifying 6k + 8 = 2(k + -2) Reorder the terms: 8 + 6k = 2(k + -2) Reorder the terms: 8 + 6k = 2(-2 + k) 8 + 6k = (-2 * 2 + k * 2) 8 + 6k = (-4 + 2k) Solving 8 + 6k = -4 + 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. 8 + 6k + -2k = -4 + 2k + -2k Combine like terms: 6k + -2k = 4k 8 + 4k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 4k = -4 + 0 8 + 4k = -4 Add '-8' to each side of the equation. 8 + -8 + 4k = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 4k = -4 + -8 4k = -4 + -8 Combine like terms: -4 + -8 = -12 4k = -12 Divide each side by '4'. k = -3 Simplifying k = -3
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