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Simplifying 7n + -4 = 5n + -1n + 35 Reorder the terms: -4 + 7n = 5n + -1n + 35 Reorder the terms: -4 + 7n = 35 + 5n + -1n Combine like terms: 5n + -1n = 4n -4 + 7n = 35 + 4n Solving -4 + 7n = 35 + 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. -4 + 7n + -4n = 35 + 4n + -4n Combine like terms: 7n + -4n = 3n -4 + 3n = 35 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + 3n = 35 + 0 -4 + 3n = 35 Add '4' to each side of the equation. -4 + 4 + 3n = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 35 + 4 3n = 35 + 4 Combine like terms: 35 + 4 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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