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Simplifying 4(2n + -3) + 34 = 38 Reorder the terms: 4(-3 + 2n) + 34 = 38 (-3 * 4 + 2n * 4) + 34 = 38 (-12 + 8n) + 34 = 38 Reorder the terms: -12 + 34 + 8n = 38 Combine like terms: -12 + 34 = 22 22 + 8n = 38 Solving 22 + 8n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 8n = 38 + -22 Combine like terms: 22 + -22 = 0 0 + 8n = 38 + -22 8n = 38 + -22 Combine like terms: 38 + -22 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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