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Simplifying 10(n + -1) + 10(n + -2) = 30 Reorder the terms: 10(-1 + n) + 10(n + -2) = 30 (-1 * 10 + n * 10) + 10(n + -2) = 30 (-10 + 10n) + 10(n + -2) = 30 Reorder the terms: -10 + 10n + 10(-2 + n) = 30 -10 + 10n + (-2 * 10 + n * 10) = 30 -10 + 10n + (-20 + 10n) = 30 Reorder the terms: -10 + -20 + 10n + 10n = 30 Combine like terms: -10 + -20 = -30 -30 + 10n + 10n = 30 Combine like terms: 10n + 10n = 20n -30 + 20n = 30 Solving -30 + 20n = 30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 20n = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 20n = 30 + 30 20n = 30 + 30 Combine like terms: 30 + 30 = 60 20n = 60 Divide each side by '20'. n = 3 Simplifying n = 3
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