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Simplifying 12(3n + -7) + 8n = -2(2 + -3n) Reorder the terms: 12(-7 + 3n) + 8n = -2(2 + -3n) (-7 * 12 + 3n * 12) + 8n = -2(2 + -3n) (-84 + 36n) + 8n = -2(2 + -3n) Combine like terms: 36n + 8n = 44n -84 + 44n = -2(2 + -3n) -84 + 44n = (2 * -2 + -3n * -2) -84 + 44n = (-4 + 6n) Solving -84 + 44n = -4 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -84 + 44n + -6n = -4 + 6n + -6n Combine like terms: 44n + -6n = 38n -84 + 38n = -4 + 6n + -6n Combine like terms: 6n + -6n = 0 -84 + 38n = -4 + 0 -84 + 38n = -4 Add '84' to each side of the equation. -84 + 84 + 38n = -4 + 84 Combine like terms: -84 + 84 = 0 0 + 38n = -4 + 84 38n = -4 + 84 Combine like terms: -4 + 84 = 80 38n = 80 Divide each side by '38'. n = 2.105263158 Simplifying n = 2.105263158
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