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Simplifying -4(k + -2) + 6 = 2k + 20 Reorder the terms: -4(-2 + k) + 6 = 2k + 20 (-2 * -4 + k * -4) + 6 = 2k + 20 (8 + -4k) + 6 = 2k + 20 Reorder the terms: 8 + 6 + -4k = 2k + 20 Combine like terms: 8 + 6 = 14 14 + -4k = 2k + 20 Reorder the terms: 14 + -4k = 20 + 2k Solving 14 + -4k = 20 + 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. 14 + -4k + -2k = 20 + 2k + -2k Combine like terms: -4k + -2k = -6k 14 + -6k = 20 + 2k + -2k Combine like terms: 2k + -2k = 0 14 + -6k = 20 + 0 14 + -6k = 20 Add '-14' to each side of the equation. 14 + -14 + -6k = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -6k = 20 + -14 -6k = 20 + -14 Combine like terms: 20 + -14 = 6 -6k = 6 Divide each side by '-6'. k = -1 Simplifying k = -1
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