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Simplifying 5n + -1 = 2n + -4 + -6 Reorder the terms: -1 + 5n = 2n + -4 + -6 Reorder the terms: -1 + 5n = -4 + -6 + 2n Combine like terms: -4 + -6 = -10 -1 + 5n = -10 + 2n Solving -1 + 5n = -10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -1 + 5n + -2n = -10 + 2n + -2n Combine like terms: 5n + -2n = 3n -1 + 3n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -1 + 3n = -10 + 0 -1 + 3n = -10 Add '1' to each side of the equation. -1 + 1 + 3n = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = -10 + 1 3n = -10 + 1 Combine like terms: -10 + 1 = -9 3n = -9 Divide each side by '3'. n = -3 Simplifying n = -3
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