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Simplifying 3 + -1(5 + -15n) = 15(3n + -2) 3 + (5 * -1 + -15n * -1) = 15(3n + -2) 3 + (-5 + 15n) = 15(3n + -2) Combine like terms: 3 + -5 = -2 -2 + 15n = 15(3n + -2) Reorder the terms: -2 + 15n = 15(-2 + 3n) -2 + 15n = (-2 * 15 + 3n * 15) -2 + 15n = (-30 + 45n) Solving -2 + 15n = -30 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. -2 + 15n + -45n = -30 + 45n + -45n Combine like terms: 15n + -45n = -30n -2 + -30n = -30 + 45n + -45n Combine like terms: 45n + -45n = 0 -2 + -30n = -30 + 0 -2 + -30n = -30 Add '2' to each side of the equation. -2 + 2 + -30n = -30 + 2 Combine like terms: -2 + 2 = 0 0 + -30n = -30 + 2 -30n = -30 + 2 Combine like terms: -30 + 2 = -28 -30n = -28 Divide each side by '-30'. n = 0.9333333333 Simplifying n = 0.9333333333
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