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Simplifying -2(4n + 5) + -8n = -34 + 8n Reorder the terms: -2(5 + 4n) + -8n = -34 + 8n (5 * -2 + 4n * -2) + -8n = -34 + 8n (-10 + -8n) + -8n = -34 + 8n Combine like terms: -8n + -8n = -16n -10 + -16n = -34 + 8n Solving -10 + -16n = -34 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -10 + -16n + -8n = -34 + 8n + -8n Combine like terms: -16n + -8n = -24n -10 + -24n = -34 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -24n = -34 + 0 -10 + -24n = -34 Add '10' to each side of the equation. -10 + 10 + -24n = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -24n = -34 + 10 -24n = -34 + 10 Combine like terms: -34 + 10 = -24 -24n = -24 Divide each side by '-24'. n = 1 Simplifying n = 1
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