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Simplifying -32 = -7n + -12 + 13n Reorder the terms: -32 = -12 + -7n + 13n Combine like terms: -7n + 13n = 6n -32 = -12 + 6n Solving -32 = -12 + 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. -32 + -6n = -12 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + -6n = -12 + 0 -32 + -6n = -12 Add '32' to each side of the equation. -32 + 32 + -6n = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -6n = -12 + 32 -6n = -12 + 32 Combine like terms: -12 + 32 = 20 -6n = 20 Divide each side by '-6'. n = -3.333333333 Simplifying n = -3.333333333
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