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Simplifying -10(n + 5) = -8n + 12(11n + 7) Reorder the terms: -10(5 + n) = -8n + 12(11n + 7) (5 * -10 + n * -10) = -8n + 12(11n + 7) (-50 + -10n) = -8n + 12(11n + 7) Reorder the terms: -50 + -10n = -8n + 12(7 + 11n) -50 + -10n = -8n + (7 * 12 + 11n * 12) -50 + -10n = -8n + (84 + 132n) Reorder the terms: -50 + -10n = 84 + -8n + 132n Combine like terms: -8n + 132n = 124n -50 + -10n = 84 + 124n Solving -50 + -10n = 84 + 124n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-124n' to each side of the equation. -50 + -10n + -124n = 84 + 124n + -124n Combine like terms: -10n + -124n = -134n -50 + -134n = 84 + 124n + -124n Combine like terms: 124n + -124n = 0 -50 + -134n = 84 + 0 -50 + -134n = 84 Add '50' to each side of the equation. -50 + 50 + -134n = 84 + 50 Combine like terms: -50 + 50 = 0 0 + -134n = 84 + 50 -134n = 84 + 50 Combine like terms: 84 + 50 = 134 -134n = 134 Divide each side by '-134'. n = -1 Simplifying n = -1
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