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Simplifying 5(1 + -1n) = -4(n + -2) (1 * 5 + -1n * 5) = -4(n + -2) (5 + -5n) = -4(n + -2) Reorder the terms: 5 + -5n = -4(-2 + n) 5 + -5n = (-2 * -4 + n * -4) 5 + -5n = (8 + -4n) Solving 5 + -5n = 8 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 5 + -5n + 4n = 8 + -4n + 4n Combine like terms: -5n + 4n = -1n 5 + -1n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 5 + -1n = 8 + 0 5 + -1n = 8 Add '-5' to each side of the equation. 5 + -5 + -1n = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 8 + -5 -1n = 8 + -5 Combine like terms: 8 + -5 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3
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