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Simplifying 5(n + -7) + -1(3 + -4n) = 8n Reorder the terms: 5(-7 + n) + -1(3 + -4n) = 8n (-7 * 5 + n * 5) + -1(3 + -4n) = 8n (-35 + 5n) + -1(3 + -4n) = 8n -35 + 5n + (3 * -1 + -4n * -1) = 8n -35 + 5n + (-3 + 4n) = 8n Reorder the terms: -35 + -3 + 5n + 4n = 8n Combine like terms: -35 + -3 = -38 -38 + 5n + 4n = 8n Combine like terms: 5n + 4n = 9n -38 + 9n = 8n Solving -38 + 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. -38 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -38 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -38 + 1n = 0 Add '38' to each side of the equation. -38 + 38 + 1n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 1n = 0 + 38 1n = 0 + 38 Combine like terms: 0 + 38 = 38 1n = 38 Divide each side by '1'. n = 38 Simplifying n = 38
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