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Simplifying -4k + -8 = -2(5k + -20) Reorder the terms: -8 + -4k = -2(5k + -20) Reorder the terms: -8 + -4k = -2(-20 + 5k) -8 + -4k = (-20 * -2 + 5k * -2) -8 + -4k = (40 + -10k) Solving -8 + -4k = 40 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -8 + -4k + 10k = 40 + -10k + 10k Combine like terms: -4k + 10k = 6k -8 + 6k = 40 + -10k + 10k Combine like terms: -10k + 10k = 0 -8 + 6k = 40 + 0 -8 + 6k = 40 Add '8' to each side of the equation. -8 + 8 + 6k = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 6k = 40 + 8 6k = 40 + 8 Combine like terms: 40 + 8 = 48 6k = 48 Divide each side by '6'. k = 8 Simplifying k = 8
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