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Simplifying -2(1 + -10n) = -52 + 10n (1 * -2 + -10n * -2) = -52 + 10n (-2 + 20n) = -52 + 10n Solving -2 + 20n = -52 + 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. -2 + 20n + -10n = -52 + 10n + -10n Combine like terms: 20n + -10n = 10n -2 + 10n = -52 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + 10n = -52 + 0 -2 + 10n = -52 Add '2' to each side of the equation. -2 + 2 + 10n = -52 + 2 Combine like terms: -2 + 2 = 0 0 + 10n = -52 + 2 10n = -52 + 2 Combine like terms: -52 + 2 = -50 10n = -50 Divide each side by '10'. n = -5 Simplifying n = -5
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