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Simplifying 4(n + 5) = 7 + 5n Reorder the terms: 4(5 + n) = 7 + 5n (5 * 4 + n * 4) = 7 + 5n (20 + 4n) = 7 + 5n Solving 20 + 4n = 7 + 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. 20 + 4n + -5n = 7 + 5n + -5n Combine like terms: 4n + -5n = -1n 20 + -1n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 20 + -1n = 7 + 0 20 + -1n = 7 Add '-20' to each side of the equation. 20 + -20 + -1n = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -1n = 7 + -20 -1n = 7 + -20 Combine like terms: 7 + -20 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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