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Simplifying 3(3n + 7) = -5(2n + -5) Reorder the terms: 3(7 + 3n) = -5(2n + -5) (7 * 3 + 3n * 3) = -5(2n + -5) (21 + 9n) = -5(2n + -5) Reorder the terms: 21 + 9n = -5(-5 + 2n) 21 + 9n = (-5 * -5 + 2n * -5) 21 + 9n = (25 + -10n) Solving 21 + 9n = 25 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 21 + 9n + 10n = 25 + -10n + 10n Combine like terms: 9n + 10n = 19n 21 + 19n = 25 + -10n + 10n Combine like terms: -10n + 10n = 0 21 + 19n = 25 + 0 21 + 19n = 25 Add '-21' to each side of the equation. 21 + -21 + 19n = 25 + -21 Combine like terms: 21 + -21 = 0 0 + 19n = 25 + -21 19n = 25 + -21 Combine like terms: 25 + -21 = 4 19n = 4 Divide each side by '19'. n = 0.2105263158 Simplifying n = 0.2105263158
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