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Simplifying -5(5 + -2n) + 5(1 + 7n) = -20 (5 * -5 + -2n * -5) + 5(1 + 7n) = -20 (-25 + 10n) + 5(1 + 7n) = -20 -25 + 10n + (1 * 5 + 7n * 5) = -20 -25 + 10n + (5 + 35n) = -20 Reorder the terms: -25 + 5 + 10n + 35n = -20 Combine like terms: -25 + 5 = -20 -20 + 10n + 35n = -20 Combine like terms: 10n + 35n = 45n -20 + 45n = -20 Add '20' to each side of the equation. -20 + 20 + 45n = -20 + 20 Combine like terms: -20 + 20 = 0 0 + 45n = -20 + 20 45n = -20 + 20 Combine like terms: -20 + 20 = 0 45n = 0 Solving 45n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '45'. n = 0 Simplifying n = 0
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