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Simplifying -21 + 6n = -3(n + -5) Reorder the terms: -21 + 6n = -3(-5 + n) -21 + 6n = (-5 * -3 + n * -3) -21 + 6n = (15 + -3n) Solving -21 + 6n = 15 + -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. -21 + 6n + 3n = 15 + -3n + 3n Combine like terms: 6n + 3n = 9n -21 + 9n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 -21 + 9n = 15 + 0 -21 + 9n = 15 Add '21' to each side of the equation. -21 + 21 + 9n = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 9n = 15 + 21 9n = 15 + 21 Combine like terms: 15 + 21 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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