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Simplifying -1(1 + 2n) = 9 + -7n (1 * -1 + 2n * -1) = 9 + -7n (-1 + -2n) = 9 + -7n Solving -1 + -2n = 9 + -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. -1 + -2n + 7n = 9 + -7n + 7n Combine like terms: -2n + 7n = 5n -1 + 5n = 9 + -7n + 7n Combine like terms: -7n + 7n = 0 -1 + 5n = 9 + 0 -1 + 5n = 9 Add '1' to each side of the equation. -1 + 1 + 5n = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5n = 9 + 1 5n = 9 + 1 Combine like terms: 9 + 1 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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