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Simplifying -5n + -4(n + 1) = -20 + -5n Reorder the terms: -5n + -4(1 + n) = -20 + -5n -5n + (1 * -4 + n * -4) = -20 + -5n -5n + (-4 + -4n) = -20 + -5n Reorder the terms: -4 + -5n + -4n = -20 + -5n Combine like terms: -5n + -4n = -9n -4 + -9n = -20 + -5n Solving -4 + -9n = -20 + -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. -4 + -9n + 5n = -20 + -5n + 5n Combine like terms: -9n + 5n = -4n -4 + -4n = -20 + -5n + 5n Combine like terms: -5n + 5n = 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 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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