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Simplifying -5n + -14 + 2n = -47 Reorder the terms: -14 + -5n + 2n = -47 Combine like terms: -5n + 2n = -3n -14 + -3n = -47 Solving -14 + -3n = -47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -3n = -47 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = -47 + 14 -3n = -47 + 14 Combine like terms: -47 + 14 = -33 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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