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Simplifying -8 + 2n = -3n + -1(1 + 2n) -8 + 2n = -3n + (1 * -1 + 2n * -1) -8 + 2n = -3n + (-1 + -2n) Reorder the terms: -8 + 2n = -1 + -3n + -2n Combine like terms: -3n + -2n = -5n -8 + 2n = -1 + -5n Solving -8 + 2n = -1 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -8 + 2n + 5n = -1 + -5n + 5n Combine like terms: 2n + 5n = 7n -8 + 7n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 -8 + 7n = -1 + 0 -8 + 7n = -1 Add '8' to each side of the equation. -8 + 8 + 7n = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = -1 + 8 7n = -1 + 8 Combine like terms: -1 + 8 = 7 7n = 7 Divide each side by '7'. n = 1 Simplifying n = 1
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