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Simplifying 95 = -5(1 + -5k) + -5k 95 = (1 * -5 + -5k * -5) + -5k 95 = (-5 + 25k) + -5k Combine like terms: 25k + -5k = 20k 95 = -5 + 20k Solving 95 = -5 + 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. 95 + -20k = -5 + 20k + -20k Combine like terms: 20k + -20k = 0 95 + -20k = -5 + 0 95 + -20k = -5 Add '-95' to each side of the equation. 95 + -95 + -20k = -5 + -95 Combine like terms: 95 + -95 = 0 0 + -20k = -5 + -95 -20k = -5 + -95 Combine like terms: -5 + -95 = -100 -20k = -100 Divide each side by '-20'. k = 5 Simplifying k = 5
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