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Simplifying -48 + -7 = 9n + -5(4n + 8) Combine like terms: -48 + -7 = -55 -55 = 9n + -5(4n + 8) Reorder the terms: -55 = 9n + -5(8 + 4n) -55 = 9n + (8 * -5 + 4n * -5) -55 = 9n + (-40 + -20n) Reorder the terms: -55 = -40 + 9n + -20n Combine like terms: 9n + -20n = -11n -55 = -40 + -11n Solving -55 = -40 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. -55 + 11n = -40 + -11n + 11n Combine like terms: -11n + 11n = 0 -55 + 11n = -40 + 0 -55 + 11n = -40 Add '55' to each side of the equation. -55 + 55 + 11n = -40 + 55 Combine like terms: -55 + 55 = 0 0 + 11n = -40 + 55 11n = -40 + 55 Combine like terms: -40 + 55 = 15 11n = 15 Divide each side by '11'. n = 1.363636364 Simplifying n = 1.363636364
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