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Simplifying 3n + -21 = -6(n + 5) Reorder the terms: -21 + 3n = -6(n + 5) Reorder the terms: -21 + 3n = -6(5 + n) -21 + 3n = (5 * -6 + n * -6) -21 + 3n = (-30 + -6n) Solving -21 + 3n = -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. -21 + 3n + 6n = -30 + -6n + 6n Combine like terms: 3n + 6n = 9n -21 + 9n = -30 + -6n + 6n Combine like terms: -6n + 6n = 0 -21 + 9n = -30 + 0 -21 + 9n = -30 Add '21' to each side of the equation. -21 + 21 + 9n = -30 + 21 Combine like terms: -21 + 21 = 0 0 + 9n = -30 + 21 9n = -30 + 21 Combine like terms: -30 + 21 = -9 9n = -9 Divide each side by '9'. n = -1 Simplifying n = -1
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