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Simplifying 4n + -7 = 3n + 6 Reorder the terms: -7 + 4n = 3n + 6 Reorder the terms: -7 + 4n = 6 + 3n Solving -7 + 4n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -7 + 4n + -3n = 6 + 3n + -3n Combine like terms: 4n + -3n = 1n -7 + 1n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + 1n = 6 + 0 -7 + 1n = 6 Add '7' to each side of the equation. -7 + 7 + 1n = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 1n = 6 + 7 1n = 6 + 7 Combine like terms: 6 + 7 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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