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Simplifying 4(n + -7) + -1(5n + -3) = 8n Reorder the terms: 4(-7 + n) + -1(5n + -3) = 8n (-7 * 4 + n * 4) + -1(5n + -3) = 8n (-28 + 4n) + -1(5n + -3) = 8n Reorder the terms: -28 + 4n + -1(-3 + 5n) = 8n -28 + 4n + (-3 * -1 + 5n * -1) = 8n -28 + 4n + (3 + -5n) = 8n Reorder the terms: -28 + 3 + 4n + -5n = 8n Combine like terms: -28 + 3 = -25 -25 + 4n + -5n = 8n Combine like terms: 4n + -5n = -1n -25 + -1n = 8n Solving -25 + -1n = 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. -25 + -1n + -8n = 8n + -8n Combine like terms: -1n + -8n = -9n -25 + -9n = 8n + -8n Combine like terms: 8n + -8n = 0 -25 + -9n = 0 Add '25' to each side of the equation. -25 + 25 + -9n = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -9n = 0 + 25 -9n = 0 + 25 Combine like terms: 0 + 25 = 25 -9n = 25 Divide each side by '-9'. n = -2.777777778 Simplifying n = -2.777777778
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