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Simplifying 8(n + -10) = -4(n + -10) + 2(5n + 12) Reorder the terms: 8(-10 + n) = -4(n + -10) + 2(5n + 12) (-10 * 8 + n * 8) = -4(n + -10) + 2(5n + 12) (-80 + 8n) = -4(n + -10) + 2(5n + 12) Reorder the terms: -80 + 8n = -4(-10 + n) + 2(5n + 12) -80 + 8n = (-10 * -4 + n * -4) + 2(5n + 12) -80 + 8n = (40 + -4n) + 2(5n + 12) Reorder the terms: -80 + 8n = 40 + -4n + 2(12 + 5n) -80 + 8n = 40 + -4n + (12 * 2 + 5n * 2) -80 + 8n = 40 + -4n + (24 + 10n) Reorder the terms: -80 + 8n = 40 + 24 + -4n + 10n Combine like terms: 40 + 24 = 64 -80 + 8n = 64 + -4n + 10n Combine like terms: -4n + 10n = 6n -80 + 8n = 64 + 6n Solving -80 + 8n = 64 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -80 + 8n + -6n = 64 + 6n + -6n Combine like terms: 8n + -6n = 2n -80 + 2n = 64 + 6n + -6n Combine like terms: 6n + -6n = 0 -80 + 2n = 64 + 0 -80 + 2n = 64 Add '80' to each side of the equation. -80 + 80 + 2n = 64 + 80 Combine like terms: -80 + 80 = 0 0 + 2n = 64 + 80 2n = 64 + 80 Combine like terms: 64 + 80 = 144 2n = 144 Divide each side by '2'. n = 72 Simplifying n = 72
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