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Simplifying 4n + -40 = 7 + -3n + 2 Reorder the terms: -40 + 4n = 7 + -3n + 2 Reorder the terms: -40 + 4n = 7 + 2 + -3n Combine like terms: 7 + 2 = 9 -40 + 4n = 9 + -3n Solving -40 + 4n = 9 + -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. -40 + 4n + 3n = 9 + -3n + 3n Combine like terms: 4n + 3n = 7n -40 + 7n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 -40 + 7n = 9 + 0 -40 + 7n = 9 Add '40' to each side of the equation. -40 + 40 + 7n = 9 + 40 Combine like terms: -40 + 40 = 0 0 + 7n = 9 + 40 7n = 9 + 40 Combine like terms: 9 + 40 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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