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Simplifying -1(1 + -2n) + 5(-2n + 6) = 21 (1 * -1 + -2n * -1) + 5(-2n + 6) = 21 (-1 + 2n) + 5(-2n + 6) = 21 Reorder the terms: -1 + 2n + 5(6 + -2n) = 21 -1 + 2n + (6 * 5 + -2n * 5) = 21 -1 + 2n + (30 + -10n) = 21 Reorder the terms: -1 + 30 + 2n + -10n = 21 Combine like terms: -1 + 30 = 29 29 + 2n + -10n = 21 Combine like terms: 2n + -10n = -8n 29 + -8n = 21 Solving 29 + -8n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -8n = 21 + -29 Combine like terms: 29 + -29 = 0 0 + -8n = 21 + -29 -8n = 21 + -29 Combine like terms: 21 + -29 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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