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Simplifying -3(2n + 1) + 6 = 2n Reorder the terms: -3(1 + 2n) + 6 = 2n (1 * -3 + 2n * -3) + 6 = 2n (-3 + -6n) + 6 = 2n Reorder the terms: -3 + 6 + -6n = 2n Combine like terms: -3 + 6 = 3 3 + -6n = 2n Solving 3 + -6n = 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. 3 + -6n + -2n = 2n + -2n Combine like terms: -6n + -2n = -8n 3 + -8n = 2n + -2n Combine like terms: 2n + -2n = 0 3 + -8n = 0 Add '-3' to each side of the equation. 3 + -3 + -8n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8n = 0 + -3 -8n = 0 + -3 Combine like terms: 0 + -3 = -3 -8n = -3 Divide each side by '-8'. n = 0.375 Simplifying n = 0.375
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