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Simplifying 7(n + 3) = 15 + -4(n + -7) Reorder the terms: 7(3 + n) = 15 + -4(n + -7) (3 * 7 + n * 7) = 15 + -4(n + -7) (21 + 7n) = 15 + -4(n + -7) Reorder the terms: 21 + 7n = 15 + -4(-7 + n) 21 + 7n = 15 + (-7 * -4 + n * -4) 21 + 7n = 15 + (28 + -4n) Combine like terms: 15 + 28 = 43 21 + 7n = 43 + -4n Solving 21 + 7n = 43 + -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 = 43 + -4n + 4n Combine like terms: 7n + 4n = 11n 21 + 11n = 43 + -4n + 4n Combine like terms: -4n + 4n = 0 21 + 11n = 43 + 0 21 + 11n = 43 Add '-21' to each side of the equation. 21 + -21 + 11n = 43 + -21 Combine like terms: 21 + -21 = 0 0 + 11n = 43 + -21 11n = 43 + -21 Combine like terms: 43 + -21 = 22 11n = 22 Divide each side by '11'. n = 2 Simplifying n = 2
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