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Simplifying -4(5 + 2n) = -35 + -5n (5 * -4 + 2n * -4) = -35 + -5n (-20 + -8n) = -35 + -5n Solving -20 + -8n = -35 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -20 + -8n + 5n = -35 + -5n + 5n Combine like terms: -8n + 5n = -3n -20 + -3n = -35 + -5n + 5n Combine like terms: -5n + 5n = 0 -20 + -3n = -35 + 0 -20 + -3n = -35 Add '20' to each side of the equation. -20 + 20 + -3n = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -3n = -35 + 20 -3n = -35 + 20 Combine like terms: -35 + 20 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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