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Simplifying 4(n + 7) = 7 + -3(n + -7) Reorder the terms: 4(7 + n) = 7 + -3(n + -7) (7 * 4 + n * 4) = 7 + -3(n + -7) (28 + 4n) = 7 + -3(n + -7) Reorder the terms: 28 + 4n = 7 + -3(-7 + n) 28 + 4n = 7 + (-7 * -3 + n * -3) 28 + 4n = 7 + (21 + -3n) Combine like terms: 7 + 21 = 28 28 + 4n = 28 + -3n Add '-28' to each side of the equation. 28 + -28 + 4n = 28 + -28 + -3n Combine like terms: 28 + -28 = 0 0 + 4n = 28 + -28 + -3n 4n = 28 + -28 + -3n Combine like terms: 28 + -28 = 0 4n = 0 + -3n 4n = -3n Solving 4n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 4n + 3n = -3n + 3n Combine like terms: 4n + 3n = 7n 7n = -3n + 3n Combine like terms: -3n + 3n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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