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Simplifying 4(n + -3) + -1(6 + -5n) = 8n Reorder the terms: 4(-3 + n) + -1(6 + -5n) = 8n (-3 * 4 + n * 4) + -1(6 + -5n) = 8n (-12 + 4n) + -1(6 + -5n) = 8n -12 + 4n + (6 * -1 + -5n * -1) = 8n -12 + 4n + (-6 + 5n) = 8n Reorder the terms: -12 + -6 + 4n + 5n = 8n Combine like terms: -12 + -6 = -18 -18 + 4n + 5n = 8n Combine like terms: 4n + 5n = 9n -18 + 9n = 8n Solving -18 + 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. -18 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -18 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -18 + 1n = 0 Add '18' to each side of the equation. -18 + 18 + 1n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = 0 + 18 1n = 0 + 18 Combine like terms: 0 + 18 = 18 1n = 18 Divide each side by '1'. n = 18 Simplifying n = 18
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