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Simplifying 6n + -1 = 2n + 7 Reorder the terms: -1 + 6n = 2n + 7 Reorder the terms: -1 + 6n = 7 + 2n Solving -1 + 6n = 7 + 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 + 6n + -2n = 7 + 2n + -2n Combine like terms: 6n + -2n = 4n -1 + 4n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -1 + 4n = 7 + 0 -1 + 4n = 7 Add '1' to each side of the equation. -1 + 1 + 4n = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4n = 7 + 1 4n = 7 + 1 Combine like terms: 7 + 1 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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