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Simplifying -120 = 5(1 + 5k) -120 = (1 * 5 + 5k * 5) -120 = (5 + 25k) Solving -120 = 5 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -120 + -25k = 5 + 25k + -25k Combine like terms: 25k + -25k = 0 -120 + -25k = 5 + 0 -120 + -25k = 5 Add '120' to each side of the equation. -120 + 120 + -25k = 5 + 120 Combine like terms: -120 + 120 = 0 0 + -25k = 5 + 120 -25k = 5 + 120 Combine like terms: 5 + 120 = 125 -25k = 125 Divide each side by '-25'. k = -5 Simplifying k = -5
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