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Simplifying 8(n + 8) = -8(-5n + 1) + 4n Reorder the terms: 8(8 + n) = -8(-5n + 1) + 4n (8 * 8 + n * 8) = -8(-5n + 1) + 4n (64 + 8n) = -8(-5n + 1) + 4n Reorder the terms: 64 + 8n = -8(1 + -5n) + 4n 64 + 8n = (1 * -8 + -5n * -8) + 4n 64 + 8n = (-8 + 40n) + 4n Combine like terms: 40n + 4n = 44n 64 + 8n = -8 + 44n Solving 64 + 8n = -8 + 44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44n' to each side of the equation. 64 + 8n + -44n = -8 + 44n + -44n Combine like terms: 8n + -44n = -36n 64 + -36n = -8 + 44n + -44n Combine like terms: 44n + -44n = 0 64 + -36n = -8 + 0 64 + -36n = -8 Add '-64' to each side of the equation. 64 + -64 + -36n = -8 + -64 Combine like terms: 64 + -64 = 0 0 + -36n = -8 + -64 -36n = -8 + -64 Combine like terms: -8 + -64 = -72 -36n = -72 Divide each side by '-36'. n = 2 Simplifying n = 2
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