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Simplifying -6(n + 3) + 21 = -3n + -3 Reorder the terms: -6(3 + n) + 21 = -3n + -3 (3 * -6 + n * -6) + 21 = -3n + -3 (-18 + -6n) + 21 = -3n + -3 Reorder the terms: -18 + 21 + -6n = -3n + -3 Combine like terms: -18 + 21 = 3 3 + -6n = -3n + -3 Reorder the terms: 3 + -6n = -3 + -3n Solving 3 + -6n = -3 + -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. 3 + -6n + 3n = -3 + -3n + 3n Combine like terms: -6n + 3n = -3n 3 + -3n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 3 + -3n = -3 + 0 3 + -3n = -3 Add '-3' to each side of the equation. 3 + -3 + -3n = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -3 + -3 -3n = -3 + -3 Combine like terms: -3 + -3 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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