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Simplifying 3(2n + -5) + n = -3(n + -3) + -1(n + 1) Reorder the terms: 3(-5 + 2n) + n = -3(n + -3) + -1(n + 1) (-5 * 3 + 2n * 3) + n = -3(n + -3) + -1(n + 1) (-15 + 6n) + n = -3(n + -3) + -1(n + 1) Combine like terms: 6n + n = 7n -15 + 7n = -3(n + -3) + -1(n + 1) Reorder the terms: -15 + 7n = -3(-3 + n) + -1(n + 1) -15 + 7n = (-3 * -3 + n * -3) + -1(n + 1) -15 + 7n = (9 + -3n) + -1(n + 1) Reorder the terms: -15 + 7n = 9 + -3n + -1(1 + n) -15 + 7n = 9 + -3n + (1 * -1 + n * -1) -15 + 7n = 9 + -3n + (-1 + -1n) Reorder the terms: -15 + 7n = 9 + -1 + -3n + -1n Combine like terms: 9 + -1 = 8 -15 + 7n = 8 + -3n + -1n Combine like terms: -3n + -1n = -4n -15 + 7n = 8 + -4n Solving -15 + 7n = 8 + -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 + 7n + 4n = 8 + -4n + 4n Combine like terms: 7n + 4n = 11n -15 + 11n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 -15 + 11n = 8 + 0 -15 + 11n = 8 Add '15' to each side of the equation. -15 + 15 + 11n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 11n = 8 + 15 11n = 8 + 15 Combine like terms: 8 + 15 = 23 11n = 23 Divide each side by '11'. n = 2.090909091 Simplifying n = 2.090909091
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