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Simplifying 4(-5 + k) = 40 + -8k (-5 * 4 + k * 4) = 40 + -8k (-20 + 4k) = 40 + -8k Solving -20 + 4k = 40 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -20 + 4k + 8k = 40 + -8k + 8k Combine like terms: 4k + 8k = 12k -20 + 12k = 40 + -8k + 8k Combine like terms: -8k + 8k = 0 -20 + 12k = 40 + 0 -20 + 12k = 40 Add '20' to each side of the equation. -20 + 20 + 12k = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 12k = 40 + 20 12k = 40 + 20 Combine like terms: 40 + 20 = 60 12k = 60 Divide each side by '12'. k = 5 Simplifying k = 5
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