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Simplifying 2n + -1(n + -20) = 5n + 8 Reorder the terms: 2n + -1(-20 + n) = 5n + 8 2n + (-20 * -1 + n * -1) = 5n + 8 2n + (20 + -1n) = 5n + 8 Reorder the terms: 20 + 2n + -1n = 5n + 8 Combine like terms: 2n + -1n = 1n 20 + 1n = 5n + 8 Reorder the terms: 20 + 1n = 8 + 5n Solving 20 + 1n = 8 + 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. 20 + 1n + -5n = 8 + 5n + -5n Combine like terms: 1n + -5n = -4n 20 + -4n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 20 + -4n = 8 + 0 20 + -4n = 8 Add '-20' to each side of the equation. 20 + -20 + -4n = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -4n = 8 + -20 -4n = 8 + -20 Combine like terms: 8 + -20 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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