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Simplifying 130 = 5(1 + 5k) 130 = (1 * 5 + 5k * 5) 130 = (5 + 25k) Solving 130 = 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. 130 + -25k = 5 + 25k + -25k Combine like terms: 25k + -25k = 0 130 + -25k = 5 + 0 130 + -25k = 5 Add '-130' to each side of the equation. 130 + -130 + -25k = 5 + -130 Combine like terms: 130 + -130 = 0 0 + -25k = 5 + -130 -25k = 5 + -130 Combine like terms: 5 + -130 = -125 -25k = -125 Divide each side by '-25'. k = 5 Simplifying k = 5
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