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Simplifying 5(n + 8) = n + 28 Reorder the terms: 5(8 + n) = n + 28 (8 * 5 + n * 5) = n + 28 (40 + 5n) = n + 28 Reorder the terms: 40 + 5n = 28 + n Solving 40 + 5n = 28 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 40 + 5n + -1n = 28 + n + -1n Combine like terms: 5n + -1n = 4n 40 + 4n = 28 + n + -1n Combine like terms: n + -1n = 0 40 + 4n = 28 + 0 40 + 4n = 28 Add '-40' to each side of the equation. 40 + -40 + 4n = 28 + -40 Combine like terms: 40 + -40 = 0 0 + 4n = 28 + -40 4n = 28 + -40 Combine like terms: 28 + -40 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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