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Simplifying 7(n + 2) + -5 = -2(n + 3) Reorder the terms: 7(2 + n) + -5 = -2(n + 3) (2 * 7 + n * 7) + -5 = -2(n + 3) (14 + 7n) + -5 = -2(n + 3) Reorder the terms: 14 + -5 + 7n = -2(n + 3) Combine like terms: 14 + -5 = 9 9 + 7n = -2(n + 3) Reorder the terms: 9 + 7n = -2(3 + n) 9 + 7n = (3 * -2 + n * -2) 9 + 7n = (-6 + -2n) Solving 9 + 7n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 9 + 7n + 2n = -6 + -2n + 2n Combine like terms: 7n + 2n = 9n 9 + 9n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 9 + 9n = -6 + 0 9 + 9n = -6 Add '-9' to each side of the equation. 9 + -9 + 9n = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 9n = -6 + -9 9n = -6 + -9 Combine like terms: -6 + -9 = -15 9n = -15 Divide each side by '9'. n = -1.666666667 Simplifying n = -1.666666667
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