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Simplifying 8 + n = 5(n + -4) Reorder the terms: 8 + n = 5(-4 + n) 8 + n = (-4 * 5 + n * 5) 8 + n = (-20 + 5n) Solving 8 + n = -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. 8 + n + -5n = -20 + 5n + -5n Combine like terms: n + -5n = -4n 8 + -4n = -20 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -4n = -20 + 0 8 + -4n = -20 Add '-8' to each side of the equation. 8 + -8 + -4n = -20 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -20 + -8 -4n = -20 + -8 Combine like terms: -20 + -8 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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