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Simplifying -0.75(8n + 12) = 3(n + -3) Reorder the terms: -0.75(12 + 8n) = 3(n + -3) (12 * -0.75 + 8n * -0.75) = 3(n + -3) (-9 + -6n) = 3(n + -3) Reorder the terms: -9 + -6n = 3(-3 + n) -9 + -6n = (-3 * 3 + n * 3) -9 + -6n = (-9 + 3n) Add '9' to each side of the equation. -9 + 9 + -6n = -9 + 9 + 3n Combine like terms: -9 + 9 = 0 0 + -6n = -9 + 9 + 3n -6n = -9 + 9 + 3n Combine like terms: -9 + 9 = 0 -6n = 0 + 3n -6n = 3n Solving -6n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -6n + -3n = 3n + -3n Combine like terms: -6n + -3n = -9n -9n = 3n + -3n Combine like terms: 3n + -3n = 0 -9n = 0 Divide each side by '-9'. n = 0 Simplifying n = 0
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