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Simplifying 8(n + 5) = 7(-4n + -8) + 4n Reorder the terms: 8(5 + n) = 7(-4n + -8) + 4n (5 * 8 + n * 8) = 7(-4n + -8) + 4n (40 + 8n) = 7(-4n + -8) + 4n Reorder the terms: 40 + 8n = 7(-8 + -4n) + 4n 40 + 8n = (-8 * 7 + -4n * 7) + 4n 40 + 8n = (-56 + -28n) + 4n Combine like terms: -28n + 4n = -24n 40 + 8n = -56 + -24n Solving 40 + 8n = -56 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 40 + 8n + 24n = -56 + -24n + 24n Combine like terms: 8n + 24n = 32n 40 + 32n = -56 + -24n + 24n Combine like terms: -24n + 24n = 0 40 + 32n = -56 + 0 40 + 32n = -56 Add '-40' to each side of the equation. 40 + -40 + 32n = -56 + -40 Combine like terms: 40 + -40 = 0 0 + 32n = -56 + -40 32n = -56 + -40 Combine like terms: -56 + -40 = -96 32n = -96 Divide each side by '32'. n = -3 Simplifying n = -3
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