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Simplifying 6(2n + -5) = 4n + -3 Reorder the terms: 6(-5 + 2n) = 4n + -3 (-5 * 6 + 2n * 6) = 4n + -3 (-30 + 12n) = 4n + -3 Reorder the terms: -30 + 12n = -3 + 4n Solving -30 + 12n = -3 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -30 + 12n + -4n = -3 + 4n + -4n Combine like terms: 12n + -4n = 8n -30 + 8n = -3 + 4n + -4n Combine like terms: 4n + -4n = 0 -30 + 8n = -3 + 0 -30 + 8n = -3 Add '30' to each side of the equation. -30 + 30 + 8n = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 8n = -3 + 30 8n = -3 + 30 Combine like terms: -3 + 30 = 27 8n = 27 Divide each side by '8'. n = 3.375 Simplifying n = 3.375
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