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Simplifying -5(n + 2) = 8 + -4n Reorder the terms: -5(2 + n) = 8 + -4n (2 * -5 + n * -5) = 8 + -4n (-10 + -5n) = 8 + -4n Solving -10 + -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. -10 + -5n + 4n = 8 + -4n + 4n Combine like terms: -5n + 4n = -1n -10 + -1n = 8 + -4n + 4n Combine like terms: -4n + 4n = 0 -10 + -1n = 8 + 0 -10 + -1n = 8 Add '10' to each side of the equation. -10 + 10 + -1n = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -1n = 8 + 10 -1n = 8 + 10 Combine like terms: 8 + 10 = 18 -1n = 18 Divide each side by '-1'. n = -18 Simplifying n = -18
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