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Simplifying -3(2n + -3) = -4n + 45 Reorder the terms: -3(-3 + 2n) = -4n + 45 (-3 * -3 + 2n * -3) = -4n + 45 (9 + -6n) = -4n + 45 Reorder the terms: 9 + -6n = 45 + -4n Solving 9 + -6n = 45 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 9 + -6n + 4n = 45 + -4n + 4n Combine like terms: -6n + 4n = -2n 9 + -2n = 45 + -4n + 4n Combine like terms: -4n + 4n = 0 9 + -2n = 45 + 0 9 + -2n = 45 Add '-9' to each side of the equation. 9 + -9 + -2n = 45 + -9 Combine like terms: 9 + -9 = 0 0 + -2n = 45 + -9 -2n = 45 + -9 Combine like terms: 45 + -9 = 36 -2n = 36 Divide each side by '-2'. n = -18 Simplifying n = -18
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