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Simplifying 6(n + -6) + 7n = -140 Reorder the terms: 6(-6 + n) + 7n = -140 (-6 * 6 + n * 6) + 7n = -140 (-36 + 6n) + 7n = -140 Combine like terms: 6n + 7n = 13n -36 + 13n = -140 Solving -36 + 13n = -140 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 13n = -140 + 36 Combine like terms: -36 + 36 = 0 0 + 13n = -140 + 36 13n = -140 + 36 Combine like terms: -140 + 36 = -104 13n = -104 Divide each side by '13'. n = -8 Simplifying n = -8
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