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Simplifying 1 + 8n = -12 + 8n + -7 + 4n Reorder the terms: 1 + 8n = -12 + -7 + 8n + 4n Combine like terms: -12 + -7 = -19 1 + 8n = -19 + 8n + 4n Combine like terms: 8n + 4n = 12n 1 + 8n = -19 + 12n Solving 1 + 8n = -19 + 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. 1 + 8n + -12n = -19 + 12n + -12n Combine like terms: 8n + -12n = -4n 1 + -4n = -19 + 12n + -12n Combine like terms: 12n + -12n = 0 1 + -4n = -19 + 0 1 + -4n = -19 Add '-1' to each side of the equation. 1 + -1 + -4n = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -19 + -1 -4n = -19 + -1 Combine like terms: -19 + -1 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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