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Simplifying -3(5 + -15n) = (3n + -2) (5 * -3 + -15n * -3) = (3n + -2) (-15 + 45n) = (3n + -2) Reorder the terms: -15 + 45n = (-2 + 3n) Remove parenthesis around (-2 + 3n) -15 + 45n = -2 + 3n Solving -15 + 45n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -15 + 45n + -3n = -2 + 3n + -3n Combine like terms: 45n + -3n = 42n -15 + 42n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 42n = -2 + 0 -15 + 42n = -2 Add '15' to each side of the equation. -15 + 15 + 42n = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 42n = -2 + 15 42n = -2 + 15 Combine like terms: -2 + 15 = 13 42n = 13 Divide each side by '42'. n = 0.3095238095 Simplifying n = 0.3095238095
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