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Simplifying -18.7(n + 38.84) + -24.6 = -25(13.2n + 35.5) Reorder the terms: -18.7(38.84 + n) + -24.6 = -25(13.2n + 35.5) (38.84 * -18.7 + n * -18.7) + -24.6 = -25(13.2n + 35.5) (-726.308 + -18.7n) + -24.6 = -25(13.2n + 35.5) Reorder the terms: -726.308 + -24.6 + -18.7n = -25(13.2n + 35.5) Combine like terms: -726.308 + -24.6 = -750.908 -750.908 + -18.7n = -25(13.2n + 35.5) Reorder the terms: -750.908 + -18.7n = -25(35.5 + 13.2n) -750.908 + -18.7n = (35.5 * -25 + 13.2n * -25) -750.908 + -18.7n = (-887.5 + -330n) Solving -750.908 + -18.7n = -887.5 + -330n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '330n' to each side of the equation. -750.908 + -18.7n + 330n = -887.5 + -330n + 330n Combine like terms: -18.7n + 330n = 311.3n -750.908 + 311.3n = -887.5 + -330n + 330n Combine like terms: -330n + 330n = 0 -750.908 + 311.3n = -887.5 + 0 -750.908 + 311.3n = -887.5 Add '750.908' to each side of the equation. -750.908 + 750.908 + 311.3n = -887.5 + 750.908 Combine like terms: -750.908 + 750.908 = 0.000 0.000 + 311.3n = -887.5 + 750.908 311.3n = -887.5 + 750.908 Combine like terms: -887.5 + 750.908 = -136.592 311.3n = -136.592 Divide each side by '311.3'. n = -0.4387793126 Simplifying n = -0.4387793126
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