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Simplifying -1n + -23 = -2(4n + -6) Reorder the terms: -23 + -1n = -2(4n + -6) Reorder the terms: -23 + -1n = -2(-6 + 4n) -23 + -1n = (-6 * -2 + 4n * -2) -23 + -1n = (12 + -8n) Solving -23 + -1n = 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. -23 + -1n + 8n = 12 + -8n + 8n Combine like terms: -1n + 8n = 7n -23 + 7n = 12 + -8n + 8n Combine like terms: -8n + 8n = 0 -23 + 7n = 12 + 0 -23 + 7n = 12 Add '23' to each side of the equation. -23 + 23 + 7n = 12 + 23 Combine like terms: -23 + 23 = 0 0 + 7n = 12 + 23 7n = 12 + 23 Combine like terms: 12 + 23 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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