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Simplifying 7(n + -3) = 4n + 21 Reorder the terms: 7(-3 + n) = 4n + 21 (-3 * 7 + n * 7) = 4n + 21 (-21 + 7n) = 4n + 21 Reorder the terms: -21 + 7n = 21 + 4n Solving -21 + 7n = 21 + 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. -21 + 7n + -4n = 21 + 4n + -4n Combine like terms: 7n + -4n = 3n -21 + 3n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -21 + 3n = 21 + 0 -21 + 3n = 21 Add '21' to each side of the equation. -21 + 21 + 3n = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 3n = 21 + 21 3n = 21 + 21 Combine like terms: 21 + 21 = 42 3n = 42 Divide each side by '3'. n = 14 Simplifying n = 14
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