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Simplifying 4(2n + -3) = -3(n + 2) + 3 Reorder the terms: 4(-3 + 2n) = -3(n + 2) + 3 (-3 * 4 + 2n * 4) = -3(n + 2) + 3 (-12 + 8n) = -3(n + 2) + 3 Reorder the terms: -12 + 8n = -3(2 + n) + 3 -12 + 8n = (2 * -3 + n * -3) + 3 -12 + 8n = (-6 + -3n) + 3 Reorder the terms: -12 + 8n = -6 + 3 + -3n Combine like terms: -6 + 3 = -3 -12 + 8n = -3 + -3n Solving -12 + 8n = -3 + -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. -12 + 8n + 3n = -3 + -3n + 3n Combine like terms: 8n + 3n = 11n -12 + 11n = -3 + -3n + 3n Combine like terms: -3n + 3n = 0 -12 + 11n = -3 + 0 -12 + 11n = -3 Add '12' to each side of the equation. -12 + 12 + 11n = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 11n = -3 + 12 11n = -3 + 12 Combine like terms: -3 + 12 = 9 11n = 9 Divide each side by '11'. n = 0.8181818182 Simplifying n = 0.8181818182
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