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Simplifying 4 + -49 + -7n = 9n + -5(4n + 8) Combine like terms: 4 + -49 = -45 -45 + -7n = 9n + -5(4n + 8) Reorder the terms: -45 + -7n = 9n + -5(8 + 4n) -45 + -7n = 9n + (8 * -5 + 4n * -5) -45 + -7n = 9n + (-40 + -20n) Reorder the terms: -45 + -7n = -40 + 9n + -20n Combine like terms: 9n + -20n = -11n -45 + -7n = -40 + -11n Solving -45 + -7n = -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. -45 + -7n + 11n = -40 + -11n + 11n Combine like terms: -7n + 11n = 4n -45 + 4n = -40 + -11n + 11n Combine like terms: -11n + 11n = 0 -45 + 4n = -40 + 0 -45 + 4n = -40 Add '45' to each side of the equation. -45 + 45 + 4n = -40 + 45 Combine like terms: -45 + 45 = 0 0 + 4n = -40 + 45 4n = -40 + 45 Combine like terms: -40 + 45 = 5 4n = 5 Divide each side by '4'. n = 1.25 Simplifying n = 1.25
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