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Simplifying 5(4 + -1n + -8) = 38 + 7n Reorder the terms: 5(4 + -8 + -1n) = 38 + 7n Combine like terms: 4 + -8 = -4 5(-4 + -1n) = 38 + 7n (-4 * 5 + -1n * 5) = 38 + 7n (-20 + -5n) = 38 + 7n Solving -20 + -5n = 38 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -20 + -5n + -7n = 38 + 7n + -7n Combine like terms: -5n + -7n = -12n -20 + -12n = 38 + 7n + -7n Combine like terms: 7n + -7n = 0 -20 + -12n = 38 + 0 -20 + -12n = 38 Add '20' to each side of the equation. -20 + 20 + -12n = 38 + 20 Combine like terms: -20 + 20 = 0 0 + -12n = 38 + 20 -12n = 38 + 20 Combine like terms: 38 + 20 = 58 -12n = 58 Divide each side by '-12'. n = -4.833333333 Simplifying n = -4.833333333
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