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Simplifying 312 = 6(1 + -8n) + -3n 312 = (1 * 6 + -8n * 6) + -3n 312 = (6 + -48n) + -3n Combine like terms: -48n + -3n = -51n 312 = 6 + -51n Solving 312 = 6 + -51n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '51n' to each side of the equation. 312 + 51n = 6 + -51n + 51n Combine like terms: -51n + 51n = 0 312 + 51n = 6 + 0 312 + 51n = 6 Add '-312' to each side of the equation. 312 + -312 + 51n = 6 + -312 Combine like terms: 312 + -312 = 0 0 + 51n = 6 + -312 51n = 6 + -312 Combine like terms: 6 + -312 = -306 51n = -306 Divide each side by '51'. n = -6 Simplifying n = -6
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