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Simplifying -2(k + -5) = -4(k + -4) Reorder the terms: -2(-5 + k) = -4(k + -4) (-5 * -2 + k * -2) = -4(k + -4) (10 + -2k) = -4(k + -4) Reorder the terms: 10 + -2k = -4(-4 + k) 10 + -2k = (-4 * -4 + k * -4) 10 + -2k = (16 + -4k) Solving 10 + -2k = 16 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 10 + -2k + 4k = 16 + -4k + 4k Combine like terms: -2k + 4k = 2k 10 + 2k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 10 + 2k = 16 + 0 10 + 2k = 16 Add '-10' to each side of the equation. 10 + -10 + 2k = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = 16 + -10 2k = 16 + -10 Combine like terms: 16 + -10 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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