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Simplifying 3n + -47 + n + 7 = 180 Reorder the terms: -47 + 7 + 3n + n = 180 Combine like terms: -47 + 7 = -40 -40 + 3n + n = 180 Combine like terms: 3n + n = 4n -40 + 4n = 180 Solving -40 + 4n = 180 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 4n = 180 + 40 Combine like terms: -40 + 40 = 0 0 + 4n = 180 + 40 4n = 180 + 40 Combine like terms: 180 + 40 = 220 4n = 220 Divide each side by '4'. n = 55 Simplifying n = 55
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