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Simplifying 41 + -2n = -5(2n + -8) Reorder the terms: 41 + -2n = -5(-8 + 2n) 41 + -2n = (-8 * -5 + 2n * -5) 41 + -2n = (40 + -10n) Solving 41 + -2n = 40 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 41 + -2n + 10n = 40 + -10n + 10n Combine like terms: -2n + 10n = 8n 41 + 8n = 40 + -10n + 10n Combine like terms: -10n + 10n = 0 41 + 8n = 40 + 0 41 + 8n = 40 Add '-41' to each side of the equation. 41 + -41 + 8n = 40 + -41 Combine like terms: 41 + -41 = 0 0 + 8n = 40 + -41 8n = 40 + -41 Combine like terms: 40 + -41 = -1 8n = -1 Divide each side by '8'. n = -0.125 Simplifying n = -0.125
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