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Simplifying -48 + -7n = 9n + -5(4n + 8) Reorder the terms: -48 + -7n = 9n + -5(8 + 4n) -48 + -7n = 9n + (8 * -5 + 4n * -5) -48 + -7n = 9n + (-40 + -20n) Reorder the terms: -48 + -7n = -40 + 9n + -20n Combine like terms: 9n + -20n = -11n -48 + -7n = -40 + -11n Solving -48 + -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. -48 + -7n + 11n = -40 + -11n + 11n Combine like terms: -7n + 11n = 4n -48 + 4n = -40 + -11n + 11n Combine like terms: -11n + 11n = 0 -48 + 4n = -40 + 0 -48 + 4n = -40 Add '48' to each side of the equation. -48 + 48 + 4n = -40 + 48 Combine like terms: -48 + 48 = 0 0 + 4n = -40 + 48 4n = -40 + 48 Combine like terms: -40 + 48 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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