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Simplifying 3(n + -7) + -1(4 + -5n) = 7n Reorder the terms: 3(-7 + n) + -1(4 + -5n) = 7n (-7 * 3 + n * 3) + -1(4 + -5n) = 7n (-21 + 3n) + -1(4 + -5n) = 7n -21 + 3n + (4 * -1 + -5n * -1) = 7n -21 + 3n + (-4 + 5n) = 7n Reorder the terms: -21 + -4 + 3n + 5n = 7n Combine like terms: -21 + -4 = -25 -25 + 3n + 5n = 7n Combine like terms: 3n + 5n = 8n -25 + 8n = 7n Solving -25 + 8n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -25 + 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n -25 + 1n = 7n + -7n Combine like terms: 7n + -7n = 0 -25 + 1n = 0 Add '25' to each side of the equation. -25 + 25 + 1n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1n = 0 + 25 1n = 0 + 25 Combine like terms: 0 + 25 = 25 1n = 25 Divide each side by '1'. n = 25 Simplifying n = 25
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