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Simplifying -8(k + -2) = 6(k + 2) Reorder the terms: -8(-2 + k) = 6(k + 2) (-2 * -8 + k * -8) = 6(k + 2) (16 + -8k) = 6(k + 2) Reorder the terms: 16 + -8k = 6(2 + k) 16 + -8k = (2 * 6 + k * 6) 16 + -8k = (12 + 6k) Solving 16 + -8k = 12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 16 + -8k + -6k = 12 + 6k + -6k Combine like terms: -8k + -6k = -14k 16 + -14k = 12 + 6k + -6k Combine like terms: 6k + -6k = 0 16 + -14k = 12 + 0 16 + -14k = 12 Add '-16' to each side of the equation. 16 + -16 + -14k = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -14k = 12 + -16 -14k = 12 + -16 Combine like terms: 12 + -16 = -4 -14k = -4 Divide each side by '-14'. k = 0.2857142857 Simplifying k = 0.2857142857
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