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Simplifying -2(1 + 4n) = 34 + n (1 * -2 + 4n * -2) = 34 + n (-2 + -8n) = 34 + n Solving -2 + -8n = 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 + -8n + -1n = 34 + n + -1n Combine like terms: -8n + -1n = -9n -2 + -9n = 34 + n + -1n Combine like terms: n + -1n = 0 -2 + -9n = 34 + 0 -2 + -9n = 34 Add '2' to each side of the equation. -2 + 2 + -9n = 34 + 2 Combine like terms: -2 + 2 = 0 0 + -9n = 34 + 2 -9n = 34 + 2 Combine like terms: 34 + 2 = 36 -9n = 36 Divide each side by '-9'. n = -4 Simplifying n = -4
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