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Simplifying 3n + 7 = 43 + -1n Reorder the terms: 7 + 3n = 43 + -1n Solving 7 + 3n = 43 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 7 + 3n + n = 43 + -1n + n Combine like terms: 3n + n = 4n 7 + 4n = 43 + -1n + n Combine like terms: -1n + n = 0 7 + 4n = 43 + 0 7 + 4n = 43 Add '-7' to each side of the equation. 7 + -7 + 4n = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = 43 + -7 4n = 43 + -7 Combine like terms: 43 + -7 = 36 4n = 36 Divide each side by '4'. n = 9 Simplifying n = 9
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