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Simplifying 6(n + -2) + -1(4 + -3n) = 8n Reorder the terms: 6(-2 + n) + -1(4 + -3n) = 8n (-2 * 6 + n * 6) + -1(4 + -3n) = 8n (-12 + 6n) + -1(4 + -3n) = 8n -12 + 6n + (4 * -1 + -3n * -1) = 8n -12 + 6n + (-4 + 3n) = 8n Reorder the terms: -12 + -4 + 6n + 3n = 8n Combine like terms: -12 + -4 = -16 -16 + 6n + 3n = 8n Combine like terms: 6n + 3n = 9n -16 + 9n = 8n Solving -16 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -16 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -16 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -16 + 1n = 0 Add '16' to each side of the equation. -16 + 16 + 1n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1n = 0 + 16 1n = 0 + 16 Combine like terms: 0 + 16 = 16 1n = 16 Divide each side by '1'. n = 16 Simplifying n = 16
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