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Simplifying 3(n + 1) = 4n + 16 Reorder the terms: 3(1 + n) = 4n + 16 (1 * 3 + n * 3) = 4n + 16 (3 + 3n) = 4n + 16 Reorder the terms: 3 + 3n = 16 + 4n Solving 3 + 3n = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 3n + -4n = 16 + 4n + -4n Combine like terms: 3n + -4n = -1n 3 + -1n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -1n = 16 + 0 3 + -1n = 16 Add '-3' to each side of the equation. 3 + -3 + -1n = 16 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 16 + -3 -1n = 16 + -3 Combine like terms: 16 + -3 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13
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