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Simplifying 3(n + -5) = -1(6 + 5n) Reorder the terms: 3(-5 + n) = -1(6 + 5n) (-5 * 3 + n * 3) = -1(6 + 5n) (-15 + 3n) = -1(6 + 5n) -15 + 3n = (6 * -1 + 5n * -1) -15 + 3n = (-6 + -5n) Solving -15 + 3n = -6 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -15 + 3n + 5n = -6 + -5n + 5n Combine like terms: 3n + 5n = 8n -15 + 8n = -6 + -5n + 5n Combine like terms: -5n + 5n = 0 -15 + 8n = -6 + 0 -15 + 8n = -6 Add '15' to each side of the equation. -15 + 15 + 8n = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 8n = -6 + 15 8n = -6 + 15 Combine like terms: -6 + 15 = 9 8n = 9 Divide each side by '8'. n = 1.125 Simplifying n = 1.125
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