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Simplifying (n + 3) * 5 = (n + -2) * 3 Reorder the terms: (3 + n) * 5 = (n + -2) * 3 Reorder the terms for easier multiplication: 5(3 + n) = (n + -2) * 3 (3 * 5 + n * 5) = (n + -2) * 3 (15 + 5n) = (n + -2) * 3 Reorder the terms: 15 + 5n = (-2 + n) * 3 Reorder the terms for easier multiplication: 15 + 5n = 3(-2 + n) 15 + 5n = (-2 * 3 + n * 3) 15 + 5n = (-6 + 3n) Solving 15 + 5n = -6 + 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 + 5n + -3n = -6 + 3n + -3n Combine like terms: 5n + -3n = 2n 15 + 2n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 15 + 2n = -6 + 0 15 + 2n = -6 Add '-15' to each side of the equation. 15 + -15 + 2n = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 2n = -6 + -15 2n = -6 + -15 Combine like terms: -6 + -15 = -21 2n = -21 Divide each side by '2'. n = -10.5 Simplifying n = -10.5
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