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Simplifying 3n + -2 = 5(n + 5) + -9 Reorder the terms: -2 + 3n = 5(n + 5) + -9 Reorder the terms: -2 + 3n = 5(5 + n) + -9 -2 + 3n = (5 * 5 + n * 5) + -9 -2 + 3n = (25 + 5n) + -9 Reorder the terms: -2 + 3n = 25 + -9 + 5n Combine like terms: 25 + -9 = 16 -2 + 3n = 16 + 5n Solving -2 + 3n = 16 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + 3n + -5n = 16 + 5n + -5n Combine like terms: 3n + -5n = -2n -2 + -2n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 -2 + -2n = 16 + 0 -2 + -2n = 16 Add '2' to each side of the equation. -2 + 2 + -2n = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 16 + 2 -2n = 16 + 2 Combine like terms: 16 + 2 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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