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Simplifying -5(3 + 4n) = -2(6n + -7) + -5 (3 * -5 + 4n * -5) = -2(6n + -7) + -5 (-15 + -20n) = -2(6n + -7) + -5 Reorder the terms: -15 + -20n = -2(-7 + 6n) + -5 -15 + -20n = (-7 * -2 + 6n * -2) + -5 -15 + -20n = (14 + -12n) + -5 Reorder the terms: -15 + -20n = 14 + -5 + -12n Combine like terms: 14 + -5 = 9 -15 + -20n = 9 + -12n Solving -15 + -20n = 9 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -15 + -20n + 12n = 9 + -12n + 12n Combine like terms: -20n + 12n = -8n -15 + -8n = 9 + -12n + 12n Combine like terms: -12n + 12n = 0 -15 + -8n = 9 + 0 -15 + -8n = 9 Add '15' to each side of the equation. -15 + 15 + -8n = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -8n = 9 + 15 -8n = 9 + 15 Combine like terms: 9 + 15 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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