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Simplifying -14 = -2(k + -5) + 8 Reorder the terms: -14 = -2(-5 + k) + 8 -14 = (-5 * -2 + k * -2) + 8 -14 = (10 + -2k) + 8 Reorder the terms: -14 = 10 + 8 + -2k Combine like terms: 10 + 8 = 18 -14 = 18 + -2k Solving -14 = 18 + -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 + 2k = 18 + -2k + 2k Combine like terms: -2k + 2k = 0 -14 + 2k = 18 + 0 -14 + 2k = 18 Add '14' to each side of the equation. -14 + 14 + 2k = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 2k = 18 + 14 2k = 18 + 14 Combine like terms: 18 + 14 = 32 2k = 32 Divide each side by '2'. k = 16 Simplifying k = 16
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