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Simplifying 4(n + 2) = 5(n + 1) Reorder the terms: 4(2 + n) = 5(n + 1) (2 * 4 + n * 4) = 5(n + 1) (8 + 4n) = 5(n + 1) Reorder the terms: 8 + 4n = 5(1 + n) 8 + 4n = (1 * 5 + n * 5) 8 + 4n = (5 + 5n) Solving 8 + 4n = 5 + 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 + 4n + -5n = 5 + 5n + -5n Combine like terms: 4n + -5n = -1n 8 + -1n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -1n = 5 + 0 8 + -1n = 5 Add '-8' to each side of the equation. 8 + -8 + -1n = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 5 + -8 -1n = 5 + -8 Combine like terms: 5 + -8 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3
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