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Simplifying 3n + 7 = 6 + 1 + 4n + 5 Reorder the terms: 7 + 3n = 6 + 1 + 4n + 5 Reorder the terms: 7 + 3n = 6 + 1 + 5 + 4n Combine like terms: 6 + 1 = 7 7 + 3n = 7 + 5 + 4n Combine like terms: 7 + 5 = 12 7 + 3n = 12 + 4n Solving 7 + 3n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + 3n + -4n = 12 + 4n + -4n Combine like terms: 3n + -4n = -1n 7 + -1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -1n = 12 + 0 7 + -1n = 12 Add '-7' to each side of the equation. 7 + -7 + -1n = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 12 + -7 -1n = 12 + -7 Combine like terms: 12 + -7 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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