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Simplifying 8n + -10 = -4(n + -10) + 2(5n + 12) Reorder the terms: -10 + 8n = -4(n + -10) + 2(5n + 12) Reorder the terms: -10 + 8n = -4(-10 + n) + 2(5n + 12) -10 + 8n = (-10 * -4 + n * -4) + 2(5n + 12) -10 + 8n = (40 + -4n) + 2(5n + 12) Reorder the terms: -10 + 8n = 40 + -4n + 2(12 + 5n) -10 + 8n = 40 + -4n + (12 * 2 + 5n * 2) -10 + 8n = 40 + -4n + (24 + 10n) Reorder the terms: -10 + 8n = 40 + 24 + -4n + 10n Combine like terms: 40 + 24 = 64 -10 + 8n = 64 + -4n + 10n Combine like terms: -4n + 10n = 6n -10 + 8n = 64 + 6n Solving -10 + 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. -10 + 8n + -6n = 64 + 6n + -6n Combine like terms: 8n + -6n = 2n -10 + 2n = 64 + 6n + -6n Combine like terms: 6n + -6n = 0 -10 + 2n = 64 + 0 -10 + 2n = 64 Add '10' to each side of the equation. -10 + 10 + 2n = 64 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 64 + 10 2n = 64 + 10 Combine like terms: 64 + 10 = 74 2n = 74 Divide each side by '2'. n = 37 Simplifying n = 37
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