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Simplifying -6(n + 3) = 6 + 2n Reorder the terms: -6(3 + n) = 6 + 2n (3 * -6 + n * -6) = 6 + 2n (-18 + -6n) = 6 + 2n Solving -18 + -6n = 6 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -18 + -6n + -2n = 6 + 2n + -2n Combine like terms: -6n + -2n = -8n -18 + -8n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 -18 + -8n = 6 + 0 -18 + -8n = 6 Add '18' to each side of the equation. -18 + 18 + -8n = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -8n = 6 + 18 -8n = 6 + 18 Combine like terms: 6 + 18 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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