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Simplifying n + 5 = 5n + -3 Reorder the terms: 5 + n = 5n + -3 Reorder the terms: 5 + n = -3 + 5n Solving 5 + n = -3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 5 + n + -5n = -3 + 5n + -5n Combine like terms: n + -5n = -4n 5 + -4n = -3 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + -4n = -3 + 0 5 + -4n = -3 Add '-5' to each side of the equation. 5 + -5 + -4n = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = -3 + -5 -4n = -3 + -5 Combine like terms: -3 + -5 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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