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Simplifying 4(n + 8) = 5n + 27 Reorder the terms: 4(8 + n) = 5n + 27 (8 * 4 + n * 4) = 5n + 27 (32 + 4n) = 5n + 27 Reorder the terms: 32 + 4n = 27 + 5n Solving 32 + 4n = 27 + 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. 32 + 4n + -5n = 27 + 5n + -5n Combine like terms: 4n + -5n = -1n 32 + -1n = 27 + 5n + -5n Combine like terms: 5n + -5n = 0 32 + -1n = 27 + 0 32 + -1n = 27 Add '-32' to each side of the equation. 32 + -32 + -1n = 27 + -32 Combine like terms: 32 + -32 = 0 0 + -1n = 27 + -32 -1n = 27 + -32 Combine like terms: 27 + -32 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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