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Simplifying -3(4n + 5) = 7 + 2(1 + 4n) Reorder the terms: -3(5 + 4n) = 7 + 2(1 + 4n) (5 * -3 + 4n * -3) = 7 + 2(1 + 4n) (-15 + -12n) = 7 + 2(1 + 4n) -15 + -12n = 7 + (1 * 2 + 4n * 2) -15 + -12n = 7 + (2 + 8n) Combine like terms: 7 + 2 = 9 -15 + -12n = 9 + 8n Solving -15 + -12n = 9 + 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 + -12n + -8n = 9 + 8n + -8n Combine like terms: -12n + -8n = -20n -15 + -20n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + -20n = 9 + 0 -15 + -20n = 9 Add '15' to each side of the equation. -15 + 15 + -20n = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -20n = 9 + 15 -20n = 9 + 15 Combine like terms: 9 + 15 = 24 -20n = 24 Divide each side by '-20'. n = -1.2 Simplifying n = -1.2
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