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Simplifying 3n + 9 = 7n + -23 Reorder the terms: 9 + 3n = 7n + -23 Reorder the terms: 9 + 3n = -23 + 7n Solving 9 + 3n = -23 + 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. 9 + 3n + -7n = -23 + 7n + -7n Combine like terms: 3n + -7n = -4n 9 + -4n = -23 + 7n + -7n Combine like terms: 7n + -7n = 0 9 + -4n = -23 + 0 9 + -4n = -23 Add '-9' to each side of the equation. 9 + -9 + -4n = -23 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = -23 + -9 -4n = -23 + -9 Combine like terms: -23 + -9 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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