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Simplifying 1 + 7n = -9 + 2n Solving 1 + 7n = -9 + 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 + 7n + -2n = -9 + 2n + -2n Combine like terms: 7n + -2n = 5n 1 + 5n = -9 + 2n + -2n Combine like terms: 2n + -2n = 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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