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Simplifying 2(-5n + 1) + -2 = -10 + -5n Reorder the terms: 2(1 + -5n) + -2 = -10 + -5n (1 * 2 + -5n * 2) + -2 = -10 + -5n (2 + -10n) + -2 = -10 + -5n Reorder the terms: 2 + -2 + -10n = -10 + -5n Combine like terms: 2 + -2 = 0 0 + -10n = -10 + -5n -10n = -10 + -5n Solving -10n = -10 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -10n + 5n = -10 + -5n + 5n Combine like terms: -10n + 5n = -5n -5n = -10 + -5n + 5n Combine like terms: -5n + 5n = 0 -5n = -10 + 0 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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