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Simplifying 3n + -5 = 7n + 1 Reorder the terms: -5 + 3n = 7n + 1 Reorder the terms: -5 + 3n = 1 + 7n Solving -5 + 3n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + 3n + -7n = 1 + 7n + -7n Combine like terms: 3n + -7n = -4n -5 + -4n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -4n = 1 + 0 -5 + -4n = 1 Add '5' to each side of the equation. -5 + 5 + -4n = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = 1 + 5 -4n = 1 + 5 Combine like terms: 1 + 5 = 6 -4n = 6 Divide each side by '-4'. n = -1.5 Simplifying n = -1.5
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