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Simplifying 7n + -4(1 + -2n) = -20 + 7n 7n + (1 * -4 + -2n * -4) = -20 + 7n 7n + (-4 + 8n) = -20 + 7n Reorder the terms: -4 + 7n + 8n = -20 + 7n Combine like terms: 7n + 8n = 15n -4 + 15n = -20 + 7n Solving -4 + 15n = -20 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + 15n + -7n = -20 + 7n + -7n Combine like terms: 15n + -7n = 8n -4 + 8n = -20 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + 8n = -20 + 0 -4 + 8n = -20 Add '4' to each side of the equation. -4 + 4 + 8n = -20 + 4 Combine like terms: -4 + 4 = 0 0 + 8n = -20 + 4 8n = -20 + 4 Combine like terms: -20 + 4 = -16 8n = -16 Divide each side by '8'. n = -2 Simplifying n = -2
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