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Simplifying -10(n + -3) = 1.5(24 + -14n) Reorder the terms: -10(-3 + n) = 1.5(24 + -14n) (-3 * -10 + n * -10) = 1.5(24 + -14n) (30 + -10n) = 1.5(24 + -14n) 30 + -10n = (24 * 1.5 + -14n * 1.5) 30 + -10n = (36 + -21n) Solving 30 + -10n = 36 + -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. 30 + -10n + 21n = 36 + -21n + 21n Combine like terms: -10n + 21n = 11n 30 + 11n = 36 + -21n + 21n Combine like terms: -21n + 21n = 0 30 + 11n = 36 + 0 30 + 11n = 36 Add '-30' to each side of the equation. 30 + -30 + 11n = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 11n = 36 + -30 11n = 36 + -30 Combine like terms: 36 + -30 = 6 11n = 6 Divide each side by '11'. n = 0.5454545455 Simplifying n = 0.5454545455
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