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Simplifying -1 + 3n + 10 = -4(-10n + -7) + -5(8n + 2) Reorder the terms: -1 + 10 + 3n = -4(-10n + -7) + -5(8n + 2) Combine like terms: -1 + 10 = 9 9 + 3n = -4(-10n + -7) + -5(8n + 2) Reorder the terms: 9 + 3n = -4(-7 + -10n) + -5(8n + 2) 9 + 3n = (-7 * -4 + -10n * -4) + -5(8n + 2) 9 + 3n = (28 + 40n) + -5(8n + 2) Reorder the terms: 9 + 3n = 28 + 40n + -5(2 + 8n) 9 + 3n = 28 + 40n + (2 * -5 + 8n * -5) 9 + 3n = 28 + 40n + (-10 + -40n) Reorder the terms: 9 + 3n = 28 + -10 + 40n + -40n Combine like terms: 28 + -10 = 18 9 + 3n = 18 + 40n + -40n Combine like terms: 40n + -40n = 0 9 + 3n = 18 + 0 9 + 3n = 18 Solving 9 + 3n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3n = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = 18 + -9 3n = 18 + -9 Combine like terms: 18 + -9 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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