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Simplifying -5(2n + -3) = 7(3n) Reorder the terms: -5(-3 + 2n) = 7(3n) (-3 * -5 + 2n * -5) = 7(3n) (15 + -10n) = 7(3n) Remove parenthesis around (3n) 15 + -10n = 7 * 3n Multiply 7 * 3 15 + -10n = 21n Solving 15 + -10n = 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 15 + -10n + -21n = 21n + -21n Combine like terms: -10n + -21n = -31n 15 + -31n = 21n + -21n Combine like terms: 21n + -21n = 0 15 + -31n = 0 Add '-15' to each side of the equation. 15 + -15 + -31n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -31n = 0 + -15 -31n = 0 + -15 Combine like terms: 0 + -15 = -15 -31n = -15 Divide each side by '-31'. n = 0.4838709677 Simplifying n = 0.4838709677
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