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Simplifying -4(6 + 5n) + 3 = -3(8n + 3) (6 * -4 + 5n * -4) + 3 = -3(8n + 3) (-24 + -20n) + 3 = -3(8n + 3) Reorder the terms: -24 + 3 + -20n = -3(8n + 3) Combine like terms: -24 + 3 = -21 -21 + -20n = -3(8n + 3) Reorder the terms: -21 + -20n = -3(3 + 8n) -21 + -20n = (3 * -3 + 8n * -3) -21 + -20n = (-9 + -24n) Solving -21 + -20n = -9 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -21 + -20n + 24n = -9 + -24n + 24n Combine like terms: -20n + 24n = 4n -21 + 4n = -9 + -24n + 24n Combine like terms: -24n + 24n = 0 -21 + 4n = -9 + 0 -21 + 4n = -9 Add '21' to each side of the equation. -21 + 21 + 4n = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 4n = -9 + 21 4n = -9 + 21 Combine like terms: -9 + 21 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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