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Simplifying -4(3n + -1) + 5n = -20 + -3n Reorder the terms: -4(-1 + 3n) + 5n = -20 + -3n (-1 * -4 + 3n * -4) + 5n = -20 + -3n (4 + -12n) + 5n = -20 + -3n Combine like terms: -12n + 5n = -7n 4 + -7n = -20 + -3n Solving 4 + -7n = -20 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 4 + -7n + 3n = -20 + -3n + 3n Combine like terms: -7n + 3n = -4n 4 + -4n = -20 + -3n + 3n Combine like terms: -3n + 3n = 0 4 + -4n = -20 + 0 4 + -4n = -20 Add '-4' to each side of the equation. 4 + -4 + -4n = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = -20 + -4 -4n = -20 + -4 Combine like terms: -20 + -4 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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