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Simplifying 5(n + -3) + -1(7 + -4n) = 8n Reorder the terms: 5(-3 + n) + -1(7 + -4n) = 8n (-3 * 5 + n * 5) + -1(7 + -4n) = 8n (-15 + 5n) + -1(7 + -4n) = 8n -15 + 5n + (7 * -1 + -4n * -1) = 8n -15 + 5n + (-7 + 4n) = 8n Reorder the terms: -15 + -7 + 5n + 4n = 8n Combine like terms: -15 + -7 = -22 -22 + 5n + 4n = 8n Combine like terms: 5n + 4n = 9n -22 + 9n = 8n Solving -22 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -22 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -22 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -22 + 1n = 0 Add '22' to each side of the equation. -22 + 22 + 1n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1n = 0 + 22 1n = 0 + 22 Combine like terms: 0 + 22 = 22 1n = 22 Divide each side by '1'. n = 22 Simplifying n = 22
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