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Simplifying 8n + -8 + 5n = -2(1 + -4n) + 2(4 + n) Reorder the terms: -8 + 8n + 5n = -2(1 + -4n) + 2(4 + n) Combine like terms: 8n + 5n = 13n -8 + 13n = -2(1 + -4n) + 2(4 + n) -8 + 13n = (1 * -2 + -4n * -2) + 2(4 + n) -8 + 13n = (-2 + 8n) + 2(4 + n) -8 + 13n = -2 + 8n + (4 * 2 + n * 2) -8 + 13n = -2 + 8n + (8 + 2n) Reorder the terms: -8 + 13n = -2 + 8 + 8n + 2n Combine like terms: -2 + 8 = 6 -8 + 13n = 6 + 8n + 2n Combine like terms: 8n + 2n = 10n -8 + 13n = 6 + 10n Solving -8 + 13n = 6 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -8 + 13n + -10n = 6 + 10n + -10n Combine like terms: 13n + -10n = 3n -8 + 3n = 6 + 10n + -10n Combine like terms: 10n + -10n = 0 -8 + 3n = 6 + 0 -8 + 3n = 6 Add '8' to each side of the equation. -8 + 8 + 3n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 6 + 8 3n = 6 + 8 Combine like terms: 6 + 8 = 14 3n = 14 Divide each side by '3'. n = 4.666666667 Simplifying n = 4.666666667
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