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Simplifying -4(n + 5) = 2 + -3n Reorder the terms: -4(5 + n) = 2 + -3n (5 * -4 + n * -4) = 2 + -3n (-20 + -4n) = 2 + -3n Solving -20 + -4n = 2 + -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. -20 + -4n + 3n = 2 + -3n + 3n Combine like terms: -4n + 3n = -1n -20 + -1n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 -20 + -1n = 2 + 0 -20 + -1n = 2 Add '20' to each side of the equation. -20 + 20 + -1n = 2 + 20 Combine like terms: -20 + 20 = 0 0 + -1n = 2 + 20 -1n = 2 + 20 Combine like terms: 2 + 20 = 22 -1n = 22 Divide each side by '-1'. n = -22 Simplifying n = -22
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