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Simplifying (3n + -47) + (n + 7) = 180 Reorder the terms: (-47 + 3n) + (n + 7) = 180 Remove parenthesis around (-47 + 3n) -47 + 3n + (n + 7) = 180 Reorder the terms: -47 + 3n + (7 + n) = 180 Remove parenthesis around (7 + n) -47 + 3n + 7 + n = 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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