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