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Simplifying 1 + 8(n) = 12(n) + -15 Reorder the terms: 1 + 8n = -15 + 12n Solving 1 + 8n = -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. 1 + 8n + -12n = -15 + 12n + -12n Combine like terms: 8n + -12n = -4n 1 + -4n = -15 + 12n + -12n Combine like terms: 12n + -12n = 0 1 + -4n = -15 + 0 1 + -4n = -15 Add '-1' to each side of the equation. 1 + -1 + -4n = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -15 + -1 -4n = -15 + -1 Combine like terms: -15 + -1 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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