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Simplifying -5(1 + -5n) + 5(-8n + -2) = -4n + -8n (1 * -5 + -5n * -5) + 5(-8n + -2) = -4n + -8n (-5 + 25n) + 5(-8n + -2) = -4n + -8n Reorder the terms: -5 + 25n + 5(-2 + -8n) = -4n + -8n -5 + 25n + (-2 * 5 + -8n * 5) = -4n + -8n -5 + 25n + (-10 + -40n) = -4n + -8n Reorder the terms: -5 + -10 + 25n + -40n = -4n + -8n Combine like terms: -5 + -10 = -15 -15 + 25n + -40n = -4n + -8n Combine like terms: 25n + -40n = -15n -15 + -15n = -4n + -8n Combine like terms: -4n + -8n = -12n -15 + -15n = -12n Solving -15 + -15n = -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -15 + -15n + 12n = -12n + 12n Combine like terms: -15n + 12n = -3n -15 + -3n = -12n + 12n Combine like terms: -12n + 12n = 0 -15 + -3n = 0 Add '15' to each side of the equation. -15 + 15 + -3n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3n = 0 + 15 -3n = 0 + 15 Combine like terms: 0 + 15 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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