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Simplifying 4n + 3 = 5n + 21 Reorder the terms: 3 + 4n = 5n + 21 Reorder the terms: 3 + 4n = 21 + 5n Solving 3 + 4n = 21 + 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. 3 + 4n + -5n = 21 + 5n + -5n Combine like terms: 4n + -5n = -1n 3 + -1n = 21 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -1n = 21 + 0 3 + -1n = 21 Add '-3' to each side of the equation. 3 + -3 + -1n = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 21 + -3 -1n = 21 + -3 Combine like terms: 21 + -3 = 18 -1n = 18 Divide each side by '-1'. n = -18 Simplifying n = -18
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