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Simplifying -96 = -3(1 + -5n) + 12(1 + -10n) -96 = (1 * -3 + -5n * -3) + 12(1 + -10n) -96 = (-3 + 15n) + 12(1 + -10n) -96 = -3 + 15n + (1 * 12 + -10n * 12) -96 = -3 + 15n + (12 + -120n) Reorder the terms: -96 = -3 + 12 + 15n + -120n Combine like terms: -3 + 12 = 9 -96 = 9 + 15n + -120n Combine like terms: 15n + -120n = -105n -96 = 9 + -105n Solving -96 = 9 + -105n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '105n' to each side of the equation. -96 + 105n = 9 + -105n + 105n Combine like terms: -105n + 105n = 0 -96 + 105n = 9 + 0 -96 + 105n = 9 Add '96' to each side of the equation. -96 + 96 + 105n = 9 + 96 Combine like terms: -96 + 96 = 0 0 + 105n = 9 + 96 105n = 9 + 96 Combine like terms: 9 + 96 = 105 105n = 105 Divide each side by '105'. n = 1 Simplifying n = 1
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