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Simplifying 28 = -5(n + 2) + -1(2 + 3n) Reorder the terms: 28 = -5(2 + n) + -1(2 + 3n) 28 = (2 * -5 + n * -5) + -1(2 + 3n) 28 = (-10 + -5n) + -1(2 + 3n) 28 = -10 + -5n + (2 * -1 + 3n * -1) 28 = -10 + -5n + (-2 + -3n) Reorder the terms: 28 = -10 + -2 + -5n + -3n Combine like terms: -10 + -2 = -12 28 = -12 + -5n + -3n Combine like terms: -5n + -3n = -8n 28 = -12 + -8n Solving 28 = -12 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 28 + 8n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 28 + 8n = -12 + 0 28 + 8n = -12 Add '-28' to each side of the equation. 28 + -28 + 8n = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 8n = -12 + -28 8n = -12 + -28 Combine like terms: -12 + -28 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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