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Simplifying 8 = -2(3n + -6) + -4(n + 1) Reorder the terms: 8 = -2(-6 + 3n) + -4(n + 1) 8 = (-6 * -2 + 3n * -2) + -4(n + 1) 8 = (12 + -6n) + -4(n + 1) Reorder the terms: 8 = 12 + -6n + -4(1 + n) 8 = 12 + -6n + (1 * -4 + n * -4) 8 = 12 + -6n + (-4 + -4n) Reorder the terms: 8 = 12 + -4 + -6n + -4n Combine like terms: 12 + -4 = 8 8 = 8 + -6n + -4n Combine like terms: -6n + -4n = -10n 8 = 8 + -10n Add '-8' to each side of the equation. 8 + -8 = 8 + -8 + -10n Combine like terms: 8 + -8 = 0 0 = 8 + -8 + -10n Combine like terms: 8 + -8 = 0 0 = 0 + -10n 0 = -10n Solving 0 = -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. 0 + 10n = -10n + 10n Remove the zero: 10n = -10n + 10n Combine like terms: -10n + 10n = 0 10n = 0 Divide each side by '10'. n = 0 Simplifying n = 0
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