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Simplifying -6 + -2(1 + -5n) = -40 + 2n -6 + (1 * -2 + -5n * -2) = -40 + 2n -6 + (-2 + 10n) = -40 + 2n Combine like terms: -6 + -2 = -8 -8 + 10n = -40 + 2n Solving -8 + 10n = -40 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -8 + 10n + -2n = -40 + 2n + -2n Combine like terms: 10n + -2n = 8n -8 + 8n = -40 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 8n = -40 + 0 -8 + 8n = -40 Add '8' to each side of the equation. -8 + 8 + 8n = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 8n = -40 + 8 8n = -40 + 8 Combine like terms: -40 + 8 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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