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Simplifying 130 = 5(1 + 5n) 130 = (1 * 5 + 5n * 5) 130 = (5 + 25n) Solving 130 = 5 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 130 + -25n = 5 + 25n + -25n Combine like terms: 25n + -25n = 0 130 + -25n = 5 + 0 130 + -25n = 5 Add '-130' to each side of the equation. 130 + -130 + -25n = 5 + -130 Combine like terms: 130 + -130 = 0 0 + -25n = 5 + -130 -25n = 5 + -130 Combine like terms: 5 + -130 = -125 -25n = -125 Divide each side by '-25'. n = 5 Simplifying n = 5
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