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Simplifying -150 = -5(5n + -5) Reorder the terms: -150 = -5(-5 + 5n) -150 = (-5 * -5 + 5n * -5) -150 = (25 + -25n) Solving -150 = 25 + -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. -150 + 25n = 25 + -25n + 25n Combine like terms: -25n + 25n = 0 -150 + 25n = 25 + 0 -150 + 25n = 25 Add '150' to each side of the equation. -150 + 150 + 25n = 25 + 150 Combine like terms: -150 + 150 = 0 0 + 25n = 25 + 150 25n = 25 + 150 Combine like terms: 25 + 150 = 175 25n = 175 Divide each side by '25'. n = 7 Simplifying n = 7
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