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Simplifying 3n + -5 = -48 + -4n Reorder the terms: -5 + 3n = -48 + -4n Solving -5 + 3n = -48 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -5 + 3n + 4n = -48 + -4n + 4n Combine like terms: 3n + 4n = 7n -5 + 7n = -48 + -4n + 4n Combine like terms: -4n + 4n = 0 -5 + 7n = -48 + 0 -5 + 7n = -48 Add '5' to each side of the equation. -5 + 5 + 7n = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = -48 + 5 7n = -48 + 5 Combine like terms: -48 + 5 = -43 7n = -43 Divide each side by '7'. n = -6.142857143 Simplifying n = -6.142857143
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