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Simplifying 8n + 1 = 12n + -13 Reorder the terms: 1 + 8n = 12n + -13 Reorder the terms: 1 + 8n = -13 + 12n Solving 1 + 8n = -13 + 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 = -13 + 12n + -12n Combine like terms: 8n + -12n = -4n 1 + -4n = -13 + 12n + -12n Combine like terms: 12n + -12n = 0 1 + -4n = -13 + 0 1 + -4n = -13 Add '-1' to each side of the equation. 1 + -1 + -4n = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -13 + -1 -4n = -13 + -1 Combine like terms: -13 + -1 = -14 -4n = -14 Divide each side by '-4'. n = 3.5 Simplifying n = 3.5
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