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Simplifying 5(2n + 4) + -1n = n + 12 Reorder the terms: 5(4 + 2n) + -1n = n + 12 (4 * 5 + 2n * 5) + -1n = n + 12 (20 + 10n) + -1n = n + 12 Combine like terms: 10n + -1n = 9n 20 + 9n = n + 12 Reorder the terms: 20 + 9n = 12 + n Solving 20 + 9n = 12 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 20 + 9n + -1n = 12 + n + -1n Combine like terms: 9n + -1n = 8n 20 + 8n = 12 + n + -1n Combine like terms: n + -1n = 0 20 + 8n = 12 + 0 20 + 8n = 12 Add '-20' to each side of the equation. 20 + -20 + 8n = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 8n = 12 + -20 8n = 12 + -20 Combine like terms: 12 + -20 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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