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Simplifying 5n + 13 = 9n + -7 Reorder the terms: 13 + 5n = 9n + -7 Reorder the terms: 13 + 5n = -7 + 9n Solving 13 + 5n = -7 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 13 + 5n + -9n = -7 + 9n + -9n Combine like terms: 5n + -9n = -4n 13 + -4n = -7 + 9n + -9n Combine like terms: 9n + -9n = 0 13 + -4n = -7 + 0 13 + -4n = -7 Add '-13' to each side of the equation. 13 + -13 + -4n = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4n = -7 + -13 -4n = -7 + -13 Combine like terms: -7 + -13 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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