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Simplifying -2 + -2(1 + 5n) = 2(4 + -8n) -2 + (1 * -2 + 5n * -2) = 2(4 + -8n) -2 + (-2 + -10n) = 2(4 + -8n) Combine like terms: -2 + -2 = -4 -4 + -10n = 2(4 + -8n) -4 + -10n = (4 * 2 + -8n * 2) -4 + -10n = (8 + -16n) Solving -4 + -10n = 8 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -4 + -10n + 16n = 8 + -16n + 16n Combine like terms: -10n + 16n = 6n -4 + 6n = 8 + -16n + 16n Combine like terms: -16n + 16n = 0 -4 + 6n = 8 + 0 -4 + 6n = 8 Add '4' to each side of the equation. -4 + 4 + 6n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 8 + 4 6n = 8 + 4 Combine like terms: 8 + 4 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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