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Simplifying 5 + 3n + -2 = 6n + 7 + -2n Reorder the terms: 5 + -2 + 3n = 6n + 7 + -2n Combine like terms: 5 + -2 = 3 3 + 3n = 6n + 7 + -2n Reorder the terms: 3 + 3n = 7 + 6n + -2n Combine like terms: 6n + -2n = 4n 3 + 3n = 7 + 4n Solving 3 + 3n = 7 + 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. 3 + 3n + -4n = 7 + 4n + -4n Combine like terms: 3n + -4n = -1n 3 + -1n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -1n = 7 + 0 3 + -1n = 7 Add '-3' to each side of the equation. 3 + -3 + -1n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 7 + -3 -1n = 7 + -3 Combine like terms: 7 + -3 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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