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Simplifying 7n + -2(1 + -1n) = 34 + n 7n + (1 * -2 + -1n * -2) = 34 + n 7n + (-2 + 2n) = 34 + n Reorder the terms: -2 + 7n + 2n = 34 + n Combine like terms: 7n + 2n = 9n -2 + 9n = 34 + n Solving -2 + 9n = 34 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + 9n + -1n = 34 + n + -1n Combine like terms: 9n + -1n = 8n -2 + 8n = 34 + n + -1n Combine like terms: n + -1n = 0 -2 + 8n = 34 + 0 -2 + 8n = 34 Add '2' to each side of the equation. -2 + 2 + 8n = 34 + 2 Combine like terms: -2 + 2 = 0 0 + 8n = 34 + 2 8n = 34 + 2 Combine like terms: 34 + 2 = 36 8n = 36 Divide each side by '8'. n = 4.5 Simplifying n = 4.5
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