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Simplifying -3(4 + -1n) = 2(4n + -14) (4 * -3 + -1n * -3) = 2(4n + -14) (-12 + 3n) = 2(4n + -14) Reorder the terms: -12 + 3n = 2(-14 + 4n) -12 + 3n = (-14 * 2 + 4n * 2) -12 + 3n = (-28 + 8n) Solving -12 + 3n = -28 + 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. -12 + 3n + -8n = -28 + 8n + -8n Combine like terms: 3n + -8n = -5n -12 + -5n = -28 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -5n = -28 + 0 -12 + -5n = -28 Add '12' to each side of the equation. -12 + 12 + -5n = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -5n = -28 + 12 -5n = -28 + 12 Combine like terms: -28 + 12 = -16 -5n = -16 Divide each side by '-5'. n = 3.2 Simplifying n = 3.2
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