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Simplifying 8(n + -1) + -1(5n + -3) = 12n Reorder the terms: 8(-1 + n) + -1(5n + -3) = 12n (-1 * 8 + n * 8) + -1(5n + -3) = 12n (-8 + 8n) + -1(5n + -3) = 12n Reorder the terms: -8 + 8n + -1(-3 + 5n) = 12n -8 + 8n + (-3 * -1 + 5n * -1) = 12n -8 + 8n + (3 + -5n) = 12n Reorder the terms: -8 + 3 + 8n + -5n = 12n Combine like terms: -8 + 3 = -5 -5 + 8n + -5n = 12n Combine like terms: 8n + -5n = 3n -5 + 3n = 12n Solving -5 + 3n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -5 + 3n + -12n = 12n + -12n Combine like terms: 3n + -12n = -9n -5 + -9n = 12n + -12n Combine like terms: 12n + -12n = 0 -5 + -9n = 0 Add '5' to each side of the equation. -5 + 5 + -9n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9n = 0 + 5 -9n = 0 + 5 Combine like terms: 0 + 5 = 5 -9n = 5 Divide each side by '-9'. n = -0.5555555556 Simplifying n = -0.5555555556
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