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Simplifying 3n + -2 + 4n + -5 = 2n + n + 3 + -2 Reorder the terms: -2 + -5 + 3n + 4n = 2n + n + 3 + -2 Combine like terms: -2 + -5 = -7 -7 + 3n + 4n = 2n + n + 3 + -2 Combine like terms: 3n + 4n = 7n -7 + 7n = 2n + n + 3 + -2 Reorder the terms: -7 + 7n = 3 + -2 + 2n + n Combine like terms: 3 + -2 = 1 -7 + 7n = 1 + 2n + n Combine like terms: 2n + n = 3n -7 + 7n = 1 + 3n Solving -7 + 7n = 1 + 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. -7 + 7n + -3n = 1 + 3n + -3n Combine like terms: 7n + -3n = 4n -7 + 4n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + 4n = 1 + 0 -7 + 4n = 1 Add '7' to each side of the equation. -7 + 7 + 4n = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4n = 1 + 7 4n = 1 + 7 Combine like terms: 1 + 7 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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