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Simplifying 2 + -7n + 4n = 32 + -78 Combine like terms: -7n + 4n = -3n 2 + -3n = 32 + -78 Combine like terms: 32 + -78 = -46 2 + -3n = -46 Solving 2 + -3n = -46 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3n = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -3n = -46 + -2 -3n = -46 + -2 Combine like terms: -46 + -2 = -48 -3n = -48 Divide each side by '-3'. n = 16 Simplifying n = 16
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