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Simplifying 3n + 7 = 7n + (-13) Reorder the terms: 7 + 3n = 7n + (-13) 7 + 3n = 7n + -13 Reorder the terms: 7 + 3n = -13 + 7n Solving 7 + 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. 7 + 3n + -7n = -13 + 7n + -7n Combine like terms: 3n + -7n = -4n 7 + -4n = -13 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -4n = -13 + 0 7 + -4n = -13 Add '-7' to each side of the equation. 7 + -7 + -4n = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = -13 + -7 -4n = -13 + -7 Combine like terms: -13 + -7 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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