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Simplifying -12 = -5 + -6n + 1 Reorder the terms: -12 = -5 + 1 + -6n Combine like terms: -5 + 1 = -4 -12 = -4 + -6n Solving -12 = -4 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -12 + 6n = -4 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + 6n = -4 + 0 -12 + 6n = -4 Add '12' to each side of the equation. -12 + 12 + 6n = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = -4 + 12 6n = -4 + 12 Combine like terms: -4 + 12 = 8 6n = 8 Divide each side by '6'. n = 1.333333333 Simplifying n = 1.333333333
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