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Simplifying 7 + 4n = (5n + -1) Reorder the terms: 7 + 4n = (-1 + 5n) Remove parenthesis around (-1 + 5n) 7 + 4n = -1 + 5n Solving 7 + 4n = -1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 4n + -5n = -1 + 5n + -5n Combine like terms: 4n + -5n = -1n 7 + -1n = -1 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -1n = -1 + 0 7 + -1n = -1 Add '-7' to each side of the equation. 7 + -7 + -1n = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -1 + -7 -1n = -1 + -7 Combine like terms: -1 + -7 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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