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Simplifying 3n + -5(n + 2) = 3(2n + -2) + 9 Reorder the terms: 3n + -5(2 + n) = 3(2n + -2) + 9 3n + (2 * -5 + n * -5) = 3(2n + -2) + 9 3n + (-10 + -5n) = 3(2n + -2) + 9 Reorder the terms: -10 + 3n + -5n = 3(2n + -2) + 9 Combine like terms: 3n + -5n = -2n -10 + -2n = 3(2n + -2) + 9 Reorder the terms: -10 + -2n = 3(-2 + 2n) + 9 -10 + -2n = (-2 * 3 + 2n * 3) + 9 -10 + -2n = (-6 + 6n) + 9 Reorder the terms: -10 + -2n = -6 + 9 + 6n Combine like terms: -6 + 9 = 3 -10 + -2n = 3 + 6n Solving -10 + -2n = 3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -10 + -2n + -6n = 3 + 6n + -6n Combine like terms: -2n + -6n = -8n -10 + -8n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + -8n = 3 + 0 -10 + -8n = 3 Add '10' to each side of the equation. -10 + 10 + -8n = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -8n = 3 + 10 -8n = 3 + 10 Combine like terms: 3 + 10 = 13 -8n = 13 Divide each side by '-8'. n = -1.625 Simplifying n = -1.625
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