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Simplifying 2(9n + -8) = 10(n + 8) Reorder the terms: 2(-8 + 9n) = 10(n + 8) (-8 * 2 + 9n * 2) = 10(n + 8) (-16 + 18n) = 10(n + 8) Reorder the terms: -16 + 18n = 10(8 + n) -16 + 18n = (8 * 10 + n * 10) -16 + 18n = (80 + 10n) Solving -16 + 18n = 80 + 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. -16 + 18n + -10n = 80 + 10n + -10n Combine like terms: 18n + -10n = 8n -16 + 8n = 80 + 10n + -10n Combine like terms: 10n + -10n = 0 -16 + 8n = 80 + 0 -16 + 8n = 80 Add '16' to each side of the equation. -16 + 16 + 8n = 80 + 16 Combine like terms: -16 + 16 = 0 0 + 8n = 80 + 16 8n = 80 + 16 Combine like terms: 80 + 16 = 96 8n = 96 Divide each side by '8'. n = 12 Simplifying n = 12
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