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Simplifying -2n + -8 = 7n + 1 Reorder the terms: -8 + -2n = 7n + 1 Reorder the terms: -8 + -2n = 1 + 7n Solving -8 + -2n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -8 + -2n + -7n = 1 + 7n + -7n Combine like terms: -2n + -7n = -9n -8 + -9n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -9n = 1 + 0 -8 + -9n = 1 Add '8' to each side of the equation. -8 + 8 + -9n = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -9n = 1 + 8 -9n = 1 + 8 Combine like terms: 1 + 8 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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