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Simplifying 2(1 + -5n) = -22 + -2n (1 * 2 + -5n * 2) = -22 + -2n (2 + -10n) = -22 + -2n Solving 2 + -10n = -22 + -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. 2 + -10n + 2n = -22 + -2n + 2n Combine like terms: -10n + 2n = -8n 2 + -8n = -22 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -8n = -22 + 0 2 + -8n = -22 Add '-2' to each side of the equation. 2 + -2 + -8n = -22 + -2 Combine like terms: 2 + -2 = 0 0 + -8n = -22 + -2 -8n = -22 + -2 Combine like terms: -22 + -2 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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