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Simplifying 6(2n + 4) + 2n = -3(1 + -2n) + -13 Reorder the terms: 6(4 + 2n) + 2n = -3(1 + -2n) + -13 (4 * 6 + 2n * 6) + 2n = -3(1 + -2n) + -13 (24 + 12n) + 2n = -3(1 + -2n) + -13 Combine like terms: 12n + 2n = 14n 24 + 14n = -3(1 + -2n) + -13 24 + 14n = (1 * -3 + -2n * -3) + -13 24 + 14n = (-3 + 6n) + -13 Reorder the terms: 24 + 14n = -3 + -13 + 6n Combine like terms: -3 + -13 = -16 24 + 14n = -16 + 6n Solving 24 + 14n = -16 + 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. 24 + 14n + -6n = -16 + 6n + -6n Combine like terms: 14n + -6n = 8n 24 + 8n = -16 + 6n + -6n Combine like terms: 6n + -6n = 0 24 + 8n = -16 + 0 24 + 8n = -16 Add '-24' to each side of the equation. 24 + -24 + 8n = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = -16 + -24 8n = -16 + -24 Combine like terms: -16 + -24 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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