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Simplifying -3(-7n + 1) = -1(-1 + -1n) + 8n Reorder the terms: -3(1 + -7n) = -1(-1 + -1n) + 8n (1 * -3 + -7n * -3) = -1(-1 + -1n) + 8n (-3 + 21n) = -1(-1 + -1n) + 8n -3 + 21n = (-1 * -1 + -1n * -1) + 8n -3 + 21n = (1 + 1n) + 8n Combine like terms: 1n + 8n = 9n -3 + 21n = 1 + 9n Solving -3 + 21n = 1 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -3 + 21n + -9n = 1 + 9n + -9n Combine like terms: 21n + -9n = 12n -3 + 12n = 1 + 9n + -9n Combine like terms: 9n + -9n = 0 -3 + 12n = 1 + 0 -3 + 12n = 1 Add '3' to each side of the equation. -3 + 3 + 12n = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 12n = 1 + 3 12n = 1 + 3 Combine like terms: 1 + 3 = 4 12n = 4 Divide each side by '12'. n = 0.3333333333 Simplifying n = 0.3333333333
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