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Simplifying 10(n + 20) + -12n = 100 Reorder the terms: 10(20 + n) + -12n = 100 (20 * 10 + n * 10) + -12n = 100 (200 + 10n) + -12n = 100 Combine like terms: 10n + -12n = -2n 200 + -2n = 100 Solving 200 + -2n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -2n = 100 + -200 Combine like terms: 200 + -200 = 0 0 + -2n = 100 + -200 -2n = 100 + -200 Combine like terms: 100 + -200 = -100 -2n = -100 Divide each side by '-2'. n = 50 Simplifying n = 50
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