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Simplifying -23 + -4n = 5 + -4(5 + 3n) -23 + -4n = 5 + (5 * -4 + 3n * -4) -23 + -4n = 5 + (-20 + -12n) Combine like terms: 5 + -20 = -15 -23 + -4n = -15 + -12n Solving -23 + -4n = -15 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -23 + -4n + 12n = -15 + -12n + 12n Combine like terms: -4n + 12n = 8n -23 + 8n = -15 + -12n + 12n Combine like terms: -12n + 12n = 0 -23 + 8n = -15 + 0 -23 + 8n = -15 Add '23' to each side of the equation. -23 + 23 + 8n = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 8n = -15 + 23 8n = -15 + 23 Combine like terms: -15 + 23 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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