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Simplifying -3 + 0.667(6n + -42) = -51 Reorder the terms: -3 + 0.667(-42 + 6n) = -51 -3 + (-42 * 0.667 + 6n * 0.667) = -51 -3 + (-28.014 + 4.002n) = -51 Combine like terms: -3 + -28.014 = -31.014 -31.014 + 4.002n = -51 Solving -31.014 + 4.002n = -51 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31.014' to each side of the equation. -31.014 + 31.014 + 4.002n = -51 + 31.014 Combine like terms: -31.014 + 31.014 = 0.000 0.000 + 4.002n = -51 + 31.014 4.002n = -51 + 31.014 Combine like terms: -51 + 31.014 = -19.986 4.002n = -19.986 Divide each side by '4.002'. n = -4.994002999 Simplifying n = -4.994002999
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