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Simplifying -100 = 5 + -5(1 + 5n) -100 = 5 + (1 * -5 + 5n * -5) -100 = 5 + (-5 + -25n) Combine like terms: 5 + -5 = 0 -100 = 0 + -25n -100 = -25n Solving -100 = -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. -100 + 25n = -25n + 25n Combine like terms: -25n + 25n = 0 -100 + 25n = 0 Add '100' to each side of the equation. -100 + 100 + 25n = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 25n = 0 + 100 25n = 0 + 100 Combine like terms: 0 + 100 = 100 25n = 100 Divide each side by '25'. n = 4 Simplifying n = 4
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