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Simplifying 4n + 1 + -6 = n + 2 + -7 + 15 Reorder the terms: 1 + -6 + 4n = n + 2 + -7 + 15 Combine like terms: 1 + -6 = -5 -5 + 4n = n + 2 + -7 + 15 Reorder the terms: -5 + 4n = 2 + -7 + 15 + n Combine like terms: 2 + -7 = -5 -5 + 4n = -5 + 15 + n Combine like terms: -5 + 15 = 10 -5 + 4n = 10 + n Solving -5 + 4n = 10 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -5 + 4n + -1n = 10 + n + -1n Combine like terms: 4n + -1n = 3n -5 + 3n = 10 + n + -1n Combine like terms: n + -1n = 0 -5 + 3n = 10 + 0 -5 + 3n = 10 Add '5' to each side of the equation. -5 + 5 + 3n = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3n = 10 + 5 3n = 10 + 5 Combine like terms: 10 + 5 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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