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