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Simplifying 23 + 8n = -2(n + 8) + -1 Reorder the terms: 23 + 8n = -2(8 + n) + -1 23 + 8n = (8 * -2 + n * -2) + -1 23 + 8n = (-16 + -2n) + -1 Reorder the terms: 23 + 8n = -16 + -1 + -2n Combine like terms: -16 + -1 = -17 23 + 8n = -17 + -2n Solving 23 + 8n = -17 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 23 + 8n + 2n = -17 + -2n + 2n Combine like terms: 8n + 2n = 10n 23 + 10n = -17 + -2n + 2n Combine like terms: -2n + 2n = 0 23 + 10n = -17 + 0 23 + 10n = -17 Add '-23' to each side of the equation. 23 + -23 + 10n = -17 + -23 Combine like terms: 23 + -23 = 0 0 + 10n = -17 + -23 10n = -17 + -23 Combine like terms: -17 + -23 = -40 10n = -40 Divide each side by '10'. n = -4 Simplifying n = -4
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