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Simplifying 20 + -1n = 8(-1n + -8) + -5n Reorder the terms: 20 + -1n = 8(-8 + -1n) + -5n 20 + -1n = (-8 * 8 + -1n * 8) + -5n 20 + -1n = (-64 + -8n) + -5n Combine like terms: -8n + -5n = -13n 20 + -1n = -64 + -13n Solving 20 + -1n = -64 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 20 + -1n + 13n = -64 + -13n + 13n Combine like terms: -1n + 13n = 12n 20 + 12n = -64 + -13n + 13n Combine like terms: -13n + 13n = 0 20 + 12n = -64 + 0 20 + 12n = -64 Add '-20' to each side of the equation. 20 + -20 + 12n = -64 + -20 Combine like terms: 20 + -20 = 0 0 + 12n = -64 + -20 12n = -64 + -20 Combine like terms: -64 + -20 = -84 12n = -84 Divide each side by '12'. n = -7 Simplifying n = -7
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