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Simplifying 2n + -7 = 1 + 6n Reorder the terms: -7 + 2n = 1 + 6n Solving -7 + 2n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -7 + 2n + -6n = 1 + 6n + -6n Combine like terms: 2n + -6n = -4n -7 + -4n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + -4n = 1 + 0 -7 + -4n = 1 Add '7' to each side of the equation. -7 + 7 + -4n = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -4n = 1 + 7 -4n = 1 + 7 Combine like terms: 1 + 7 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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