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Simplifying 9 + -6(3n + -5) = 3n + 10 Reorder the terms: 9 + -6(-5 + 3n) = 3n + 10 9 + (-5 * -6 + 3n * -6) = 3n + 10 9 + (30 + -18n) = 3n + 10 Combine like terms: 9 + 30 = 39 39 + -18n = 3n + 10 Reorder the terms: 39 + -18n = 10 + 3n Solving 39 + -18n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 39 + -18n + -3n = 10 + 3n + -3n Combine like terms: -18n + -3n = -21n 39 + -21n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 39 + -21n = 10 + 0 39 + -21n = 10 Add '-39' to each side of the equation. 39 + -39 + -21n = 10 + -39 Combine like terms: 39 + -39 = 0 0 + -21n = 10 + -39 -21n = 10 + -39 Combine like terms: 10 + -39 = -29 -21n = -29 Divide each side by '-21'. n = 1.380952381 Simplifying n = 1.380952381
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