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Simplifying 3n + 15 = -4(3 + -2n) Reorder the terms: 15 + 3n = -4(3 + -2n) 15 + 3n = (3 * -4 + -2n * -4) 15 + 3n = (-12 + 8n) Solving 15 + 3n = -12 + 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. 15 + 3n + -8n = -12 + 8n + -8n Combine like terms: 3n + -8n = -5n 15 + -5n = -12 + 8n + -8n Combine like terms: 8n + -8n = 0 15 + -5n = -12 + 0 15 + -5n = -12 Add '-15' to each side of the equation. 15 + -15 + -5n = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -5n = -12 + -15 -5n = -12 + -15 Combine like terms: -12 + -15 = -27 -5n = -27 Divide each side by '-5'. n = 5.4 Simplifying n = 5.4
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