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Simplifying 4(2 + -2n) + 8 = -6 + -1(3n + 8) (2 * 4 + -2n * 4) + 8 = -6 + -1(3n + 8) (8 + -8n) + 8 = -6 + -1(3n + 8) Reorder the terms: 8 + 8 + -8n = -6 + -1(3n + 8) Combine like terms: 8 + 8 = 16 16 + -8n = -6 + -1(3n + 8) Reorder the terms: 16 + -8n = -6 + -1(8 + 3n) 16 + -8n = -6 + (8 * -1 + 3n * -1) 16 + -8n = -6 + (-8 + -3n) Combine like terms: -6 + -8 = -14 16 + -8n = -14 + -3n Solving 16 + -8n = -14 + -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. 16 + -8n + 3n = -14 + -3n + 3n Combine like terms: -8n + 3n = -5n 16 + -5n = -14 + -3n + 3n Combine like terms: -3n + 3n = 0 16 + -5n = -14 + 0 16 + -5n = -14 Add '-16' to each side of the equation. 16 + -16 + -5n = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -5n = -14 + -16 -5n = -14 + -16 Combine like terms: -14 + -16 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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