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Simplifying 7n + -2 + -4n = 3n + 13 + 4n Reorder the terms: -2 + 7n + -4n = 3n + 13 + 4n Combine like terms: 7n + -4n = 3n -2 + 3n = 3n + 13 + 4n Reorder the terms: -2 + 3n = 13 + 3n + 4n Combine like terms: 3n + 4n = 7n -2 + 3n = 13 + 7n Solving -2 + 3n = 13 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 3n + -7n = 13 + 7n + -7n Combine like terms: 3n + -7n = -4n -2 + -4n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + -4n = 13 + 0 -2 + -4n = 13 Add '2' to each side of the equation. -2 + 2 + -4n = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -4n = 13 + 2 -4n = 13 + 2 Combine like terms: 13 + 2 = 15 -4n = 15 Divide each side by '-4'. n = -3.75 Simplifying n = -3.75
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