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