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Simplifying 4(1 + -3n) + -14 = 4(2n + 3) + -9 (1 * 4 + -3n * 4) + -14 = 4(2n + 3) + -9 (4 + -12n) + -14 = 4(2n + 3) + -9 Reorder the terms: 4 + -14 + -12n = 4(2n + 3) + -9 Combine like terms: 4 + -14 = -10 -10 + -12n = 4(2n + 3) + -9 Reorder the terms: -10 + -12n = 4(3 + 2n) + -9 -10 + -12n = (3 * 4 + 2n * 4) + -9 -10 + -12n = (12 + 8n) + -9 Reorder the terms: -10 + -12n = 12 + -9 + 8n Combine like terms: 12 + -9 = 3 -10 + -12n = 3 + 8n Solving -10 + -12n = 3 + 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. -10 + -12n + -8n = 3 + 8n + -8n Combine like terms: -12n + -8n = -20n -10 + -20n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 -10 + -20n = 3 + 0 -10 + -20n = 3 Add '10' to each side of the equation. -10 + 10 + -20n = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -20n = 3 + 10 -20n = 3 + 10 Combine like terms: 3 + 10 = 13 -20n = 13 Divide each side by '-20'. n = -0.65 Simplifying n = -0.65
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