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Simplifying -3n + -7(3 + -5n) = -21 + 3n -3n + (3 * -7 + -5n * -7) = -21 + 3n -3n + (-21 + 35n) = -21 + 3n Reorder the terms: -21 + -3n + 35n = -21 + 3n Combine like terms: -3n + 35n = 32n -21 + 32n = -21 + 3n Add '21' to each side of the equation. -21 + 21 + 32n = -21 + 21 + 3n Combine like terms: -21 + 21 = 0 0 + 32n = -21 + 21 + 3n 32n = -21 + 21 + 3n Combine like terms: -21 + 21 = 0 32n = 0 + 3n 32n = 3n Solving 32n = 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. 32n + -3n = 3n + -3n Combine like terms: 32n + -3n = 29n 29n = 3n + -3n Combine like terms: 3n + -3n = 0 29n = 0 Divide each side by '29'. n = 0 Simplifying n = 0
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