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