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Simplifying 4 = 2(k + -5) Reorder the terms: 4 = 2(-5 + k) 4 = (-5 * 2 + k * 2) 4 = (-10 + 2k) Solving 4 = -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. 4 + -2k = -10 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + -2k = -10 + 0 4 + -2k = -10 Add '-4' to each side of the equation. 4 + -4 + -2k = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = -10 + -4 -2k = -10 + -4 Combine like terms: -10 + -4 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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