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Simplifying -3n + -5(1 + 2n) = 34 -3n + (1 * -5 + 2n * -5) = 34 -3n + (-5 + -10n) = 34 Reorder the terms: -5 + -3n + -10n = 34 Combine like terms: -3n + -10n = -13n -5 + -13n = 34 Solving -5 + -13n = 34 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -13n = 34 + 5 Combine like terms: -5 + 5 = 0 0 + -13n = 34 + 5 -13n = 34 + 5 Combine like terms: 34 + 5 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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