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Simplifying 9(5n + 2) = 4n + -3 Reorder the terms: 9(2 + 5n) = 4n + -3 (2 * 9 + 5n * 9) = 4n + -3 (18 + 45n) = 4n + -3 Reorder the terms: 18 + 45n = -3 + 4n Solving 18 + 45n = -3 + 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. 18 + 45n + -4n = -3 + 4n + -4n Combine like terms: 45n + -4n = 41n 18 + 41n = -3 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + 41n = -3 + 0 18 + 41n = -3 Add '-18' to each side of the equation. 18 + -18 + 41n = -3 + -18 Combine like terms: 18 + -18 = 0 0 + 41n = -3 + -18 41n = -3 + -18 Combine like terms: -3 + -18 = -21 41n = -21 Divide each side by '41'. n = -0.512195122 Simplifying n = -0.512195122
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