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Simplifying -45 = -3(4n + 3) Reorder the terms: -45 = -3(3 + 4n) -45 = (3 * -3 + 4n * -3) -45 = (-9 + -12n) Solving -45 = -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. -45 + 12n = -9 + -12n + 12n Combine like terms: -12n + 12n = 0 -45 + 12n = -9 + 0 -45 + 12n = -9 Add '45' to each side of the equation. -45 + 45 + 12n = -9 + 45 Combine like terms: -45 + 45 = 0 0 + 12n = -9 + 45 12n = -9 + 45 Combine like terms: -9 + 45 = 36 12n = 36 Divide each side by '12'. n = 3 Simplifying n = 3
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