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Simplifying 8(10 + 2n) = -2 + -1(2 + -10n) (10 * 8 + 2n * 8) = -2 + -1(2 + -10n) (80 + 16n) = -2 + -1(2 + -10n) 80 + 16n = -2 + (2 * -1 + -10n * -1) 80 + 16n = -2 + (-2 + 10n) Combine like terms: -2 + -2 = -4 80 + 16n = -4 + 10n Solving 80 + 16n = -4 + 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. 80 + 16n + -10n = -4 + 10n + -10n Combine like terms: 16n + -10n = 6n 80 + 6n = -4 + 10n + -10n Combine like terms: 10n + -10n = 0 80 + 6n = -4 + 0 80 + 6n = -4 Add '-80' to each side of the equation. 80 + -80 + 6n = -4 + -80 Combine like terms: 80 + -80 = 0 0 + 6n = -4 + -80 6n = -4 + -80 Combine like terms: -4 + -80 = -84 6n = -84 Divide each side by '6'. n = -14 Simplifying n = -14
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