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Simplifying 5 + n = 4(n + 8) Reorder the terms: 5 + n = 4(8 + n) 5 + n = (8 * 4 + n * 4) 5 + n = (32 + 4n) Solving 5 + n = 32 + 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 + n + -4n = 32 + 4n + -4n Combine like terms: n + -4n = -3n 5 + -3n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -3n = 32 + 0 5 + -3n = 32 Add '-5' to each side of the equation. 5 + -5 + -3n = 32 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 32 + -5 -3n = 32 + -5 Combine like terms: 32 + -5 = 27 -3n = 27 Divide each side by '-3'. n = -9 Simplifying n = -9
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