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Simplifying -3(n + -5) = 3 + -7n Reorder the terms: -3(-5 + n) = 3 + -7n (-5 * -3 + n * -3) = 3 + -7n (15 + -3n) = 3 + -7n Solving 15 + -3n = 3 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 15 + -3n + 7n = 3 + -7n + 7n Combine like terms: -3n + 7n = 4n 15 + 4n = 3 + -7n + 7n Combine like terms: -7n + 7n = 0 15 + 4n = 3 + 0 15 + 4n = 3 Add '-15' to each side of the equation. 15 + -15 + 4n = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 4n = 3 + -15 4n = 3 + -15 Combine like terms: 3 + -15 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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