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Simplifying 3(n + 5) + -3(n + -5) = -7n + n Reorder the terms: 3(5 + n) + -3(n + -5) = -7n + n (5 * 3 + n * 3) + -3(n + -5) = -7n + n (15 + 3n) + -3(n + -5) = -7n + n Reorder the terms: 15 + 3n + -3(-5 + n) = -7n + n 15 + 3n + (-5 * -3 + n * -3) = -7n + n 15 + 3n + (15 + -3n) = -7n + n Reorder the terms: 15 + 15 + 3n + -3n = -7n + n Combine like terms: 15 + 15 = 30 30 + 3n + -3n = -7n + n Combine like terms: 3n + -3n = 0 30 + 0 = -7n + n 30 = -7n + n Combine like terms: -7n + n = -6n 30 = -6n Solving 30 = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 30 + 6n = -6n + 6n Combine like terms: -6n + 6n = 0 30 + 6n = 0 Add '-30' to each side of the equation. 30 + -30 + 6n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = 0 + -30 6n = 0 + -30 Combine like terms: 0 + -30 = -30 6n = -30 Divide each side by '6'. n = -5 Simplifying n = -5
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