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Simplifying -3(4n + 1) = -4(-2 + 8n) + 9n Reorder the terms: -3(1 + 4n) = -4(-2 + 8n) + 9n (1 * -3 + 4n * -3) = -4(-2 + 8n) + 9n (-3 + -12n) = -4(-2 + 8n) + 9n -3 + -12n = (-2 * -4 + 8n * -4) + 9n -3 + -12n = (8 + -32n) + 9n Combine like terms: -32n + 9n = -23n -3 + -12n = 8 + -23n Solving -3 + -12n = 8 + -23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23n' to each side of the equation. -3 + -12n + 23n = 8 + -23n + 23n Combine like terms: -12n + 23n = 11n -3 + 11n = 8 + -23n + 23n Combine like terms: -23n + 23n = 0 -3 + 11n = 8 + 0 -3 + 11n = 8 Add '3' to each side of the equation. -3 + 3 + 11n = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 11n = 8 + 3 11n = 8 + 3 Combine like terms: 8 + 3 = 11 11n = 11 Divide each side by '11'. n = 1 Simplifying n = 1
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