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Simplifying 6 = -12(10n + 7) Reorder the terms: 6 = -12(7 + 10n) 6 = (7 * -12 + 10n * -12) 6 = (-84 + -120n) Solving 6 = -84 + -120n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '120n' to each side of the equation. 6 + 120n = -84 + -120n + 120n Combine like terms: -120n + 120n = 0 6 + 120n = -84 + 0 6 + 120n = -84 Add '-6' to each side of the equation. 6 + -6 + 120n = -84 + -6 Combine like terms: 6 + -6 = 0 0 + 120n = -84 + -6 120n = -84 + -6 Combine like terms: -84 + -6 = -90 120n = -90 Divide each side by '120'. n = -0.75 Simplifying n = -0.75
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