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Simplifying -2(6 + -3n) + -3(n + 1) = 21 (6 * -2 + -3n * -2) + -3(n + 1) = 21 (-12 + 6n) + -3(n + 1) = 21 Reorder the terms: -12 + 6n + -3(1 + n) = 21 -12 + 6n + (1 * -3 + n * -3) = 21 -12 + 6n + (-3 + -3n) = 21 Reorder the terms: -12 + -3 + 6n + -3n = 21 Combine like terms: -12 + -3 = -15 -15 + 6n + -3n = 21 Combine like terms: 6n + -3n = 3n -15 + 3n = 21 Solving -15 + 3n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3n = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 3n = 21 + 15 3n = 21 + 15 Combine like terms: 21 + 15 = 36 3n = 36 Divide each side by '3'. n = 12 Simplifying n = 12
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