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Simplifying -5n + -8(1 + 2n) = 34 -5n + (1 * -8 + 2n * -8) = 34 -5n + (-8 + -16n) = 34 Reorder the terms: -8 + -5n + -16n = 34 Combine like terms: -5n + -16n = -21n -8 + -21n = 34 Solving -8 + -21n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -21n = 34 + 8 Combine like terms: -8 + 8 = 0 0 + -21n = 34 + 8 -21n = 34 + 8 Combine like terms: 34 + 8 = 42 -21n = 42 Divide each side by '-21'. n = -2 Simplifying n = -2
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