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Simplifying 2n + -7 + -7n = -47 Reorder the terms: -7 + 2n + -7n = -47 Combine like terms: 2n + -7n = -5n -7 + -5n = -47 Solving -7 + -5n = -47 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5n = -47 + 7 Combine like terms: -7 + 7 = 0 0 + -5n = -47 + 7 -5n = -47 + 7 Combine like terms: -47 + 7 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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