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Simplifying 4 + -1n = n(3) + 8 Reorder the terms for easier multiplication: 4 + -1n = 3n + 8 Reorder the terms: 4 + -1n = 8 + 3n Solving 4 + -1n = 8 + 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. 4 + -1n + -3n = 8 + 3n + -3n Combine like terms: -1n + -3n = -4n 4 + -4n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -4n = 8 + 0 4 + -4n = 8 Add '-4' to each side of the equation. 4 + -4 + -4n = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = 8 + -4 -4n = 8 + -4 Combine like terms: 8 + -4 = 4 -4n = 4 Divide each side by '-4'. n = -1 Simplifying n = -1
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