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Simplifying -2(5n + -1) = 52 Reorder the terms: -2(-1 + 5n) = 52 (-1 * -2 + 5n * -2) = 52 (2 + -10n) = 52 Solving 2 + -10n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. 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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