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Simplifying 3(n + 7) = 7 + -4(n + -7) Reorder the terms: 3(7 + n) = 7 + -4(n + -7) (7 * 3 + n * 3) = 7 + -4(n + -7) (21 + 3n) = 7 + -4(n + -7) Reorder the terms: 21 + 3n = 7 + -4(-7 + n) 21 + 3n = 7 + (-7 * -4 + n * -4) 21 + 3n = 7 + (28 + -4n) Combine like terms: 7 + 28 = 35 21 + 3n = 35 + -4n Solving 21 + 3n = 35 + -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 + 3n + 4n = 35 + -4n + 4n Combine like terms: 3n + 4n = 7n 21 + 7n = 35 + -4n + 4n Combine like terms: -4n + 4n = 0 21 + 7n = 35 + 0 21 + 7n = 35 Add '-21' to each side of the equation. 21 + -21 + 7n = 35 + -21 Combine like terms: 21 + -21 = 0 0 + 7n = 35 + -21 7n = 35 + -21 Combine like terms: 35 + -21 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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