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Simplifying -4(3n + -5) = 27 + -5n Reorder the terms: -4(-5 + 3n) = 27 + -5n (-5 * -4 + 3n * -4) = 27 + -5n (20 + -12n) = 27 + -5n Solving 20 + -12n = 27 + -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 + -12n + 5n = 27 + -5n + 5n Combine like terms: -12n + 5n = -7n 20 + -7n = 27 + -5n + 5n Combine like terms: -5n + 5n = 0 20 + -7n = 27 + 0 20 + -7n = 27 Add '-20' to each side of the equation. 20 + -20 + -7n = 27 + -20 Combine like terms: 20 + -20 = 0 0 + -7n = 27 + -20 -7n = 27 + -20 Combine like terms: 27 + -20 = 7 -7n = 7 Divide each side by '-7'. n = -1 Simplifying n = -1
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