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Simplifying 2n + -6 = 4n + 1 Reorder the terms: -6 + 2n = 4n + 1 Reorder the terms: -6 + 2n = 1 + 4n Solving -6 + 2n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -6 + 2n + -4n = 1 + 4n + -4n Combine like terms: 2n + -4n = -2n -6 + -2n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + -2n = 1 + 0 -6 + -2n = 1 Add '6' to each side of the equation. -6 + 6 + -2n = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = 1 + 6 -2n = 1 + 6 Combine like terms: 1 + 6 = 7 -2n = 7 Divide each side by '-2'. n = -3.5 Simplifying n = -3.5
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