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Simplifying 5n + -5 + 2n + 3 = 7 + 3n + 3 Reorder the terms: -5 + 3 + 5n + 2n = 7 + 3n + 3 Combine like terms: -5 + 3 = -2 -2 + 5n + 2n = 7 + 3n + 3 Combine like terms: 5n + 2n = 7n -2 + 7n = 7 + 3n + 3 Reorder the terms: -2 + 7n = 7 + 3 + 3n Combine like terms: 7 + 3 = 10 -2 + 7n = 10 + 3n Solving -2 + 7n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -2 + 7n + -3n = 10 + 3n + -3n Combine like terms: 7n + -3n = 4n -2 + 4n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + 4n = 10 + 0 -2 + 4n = 10 Add '2' to each side of the equation. -2 + 2 + 4n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4n = 10 + 2 4n = 10 + 2 Combine like terms: 10 + 2 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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