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Simplifying 3n + -1(5n + 15) = 3 + -1(4n + -7) Reorder the terms: 3n + -1(15 + 5n) = 3 + -1(4n + -7) 3n + (15 * -1 + 5n * -1) = 3 + -1(4n + -7) 3n + (-15 + -5n) = 3 + -1(4n + -7) Reorder the terms: -15 + 3n + -5n = 3 + -1(4n + -7) Combine like terms: 3n + -5n = -2n -15 + -2n = 3 + -1(4n + -7) Reorder the terms: -15 + -2n = 3 + -1(-7 + 4n) -15 + -2n = 3 + (-7 * -1 + 4n * -1) -15 + -2n = 3 + (7 + -4n) Combine like terms: 3 + 7 = 10 -15 + -2n = 10 + -4n Solving -15 + -2n = 10 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -15 + -2n + 4n = 10 + -4n + 4n Combine like terms: -2n + 4n = 2n -15 + 2n = 10 + -4n + 4n Combine like terms: -4n + 4n = 0 -15 + 2n = 10 + 0 -15 + 2n = 10 Add '15' to each side of the equation. -15 + 15 + 2n = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = 10 + 15 2n = 10 + 15 Combine like terms: 10 + 15 = 25 2n = 25 Divide each side by '2'. n = 12.5 Simplifying n = 12.5
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